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Finding the Fourth Proportional to 902.48, 1,354.55 and 492.03

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Solution

The fourth proportional to 902.48, 1,354.55 and 492.03 is: 738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.48 : 1,354.55 = 492.03 : x
  2. Step 2: Convert to fraction form
    902.48/1,354.55 = 492.03/x
  3. Step 3: Cross multiply
    902.48x = 1,354.55 × 492.03
  4. Step 4: Simplify right side
    902.48x = 666,476.78
  5. Step 5: Solve for x
    x = 666,476.78/902.48
  6. Step 6: Final answer
    x = 738.50

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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.