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Finding the Fourth Proportional to 902.96, 1,355.45 and 493.10

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Solution

The fourth proportional to 902.96, 1,355.45 and 493.10 is: 740.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.96 : 1,355.45 = 493.10 : x
  2. Step 2: Convert to fraction form
    902.96/1,355.45 = 493.10/x
  3. Step 3: Cross multiply
    902.96x = 1,355.45 × 493.10
  4. Step 4: Simplify right side
    902.96x = 668,363.15
  5. Step 5: Solve for x
    x = 668,363.15/902.96
  6. Step 6: Final answer
    x = 740.20

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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.