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Finding the Fourth Proportional to 899.75, 1,342.02 and 872.39

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Solution

The fourth proportional to 899.75, 1,342.02 and 872.39 is: 1,301.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.75 : 1,342.02 = 872.39 : x
  2. Step 2: Convert to fraction form
    899.75/1,342.02 = 872.39/x
  3. Step 3: Cross multiply
    899.75x = 1,342.02 × 872.39
  4. Step 4: Simplify right side
    899.75x = 1,170,758.12
  5. Step 5: Solve for x
    x = 1,170,758.12/899.75
  6. Step 6: Final answer
    x = 1,301.21

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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 (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.