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Finding the Fourth Proportional to 902.41, 1,352.70 and 491.13

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Solution

The fourth proportional to 902.41, 1,352.70 and 491.13 is: 736.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.41 : 1,352.70 = 491.13 : x
  2. Step 2: Convert to fraction form
    902.41/1,352.70 = 491.13/x
  3. Step 3: Cross multiply
    902.41x = 1,352.70 × 491.13
  4. Step 4: Simplify right side
    902.41x = 664,351.55
  5. Step 5: Solve for x
    x = 664,351.55/902.41
  6. Step 6: Final answer
    x = 736.20

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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.