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Finding the Fourth Proportional to 741.84, 1,112.40 and 357.12

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Solution

The fourth proportional to 741.84, 1,112.40 and 357.12 is: 535.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.84 : 1,112.40 = 357.12 : x
  2. Step 2: Convert to fraction form
    741.84/1,112.40 = 357.12/x
  3. Step 3: Cross multiply
    741.84x = 1,112.40 × 357.12
  4. Step 4: Simplify right side
    741.84x = 397,260.29
  5. Step 5: Solve for x
    x = 397,260.29/741.84
  6. Step 6: Final answer
    x = 535.51

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.