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Finding the Fourth Proportional to 1,300.75, 1,794.90 and 741.10

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Solution

The fourth proportional to 1,300.75, 1,794.90 and 741.10 is: 1,022.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.75 : 1,794.90 = 741.10 : x
  2. Step 2: Convert to fraction form
    1,300.75/1,794.90 = 741.10/x
  3. Step 3: Cross multiply
    1,300.75x = 1,794.90 × 741.10
  4. Step 4: Simplify right side
    1,300.75x = 1,330,196.68
  5. Step 5: Solve for x
    x = 1,330,196.68/1,300.75
  6. Step 6: Final answer
    x = 1,022.64

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,301.75, 1,796.27 and 742.10
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.