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Finding the Fourth Proportional to 902.59, 1,353.65 and 354.78

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Solution

The fourth proportional to 902.59, 1,353.65 and 354.78 is: 532.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.59 : 1,353.65 = 354.78 : x
  2. Step 2: Convert to fraction form
    902.59/1,353.65 = 354.78/x
  3. Step 3: Cross multiply
    902.59x = 1,353.65 × 354.78
  4. Step 4: Simplify right side
    902.59x = 480,242.07
  5. Step 5: Solve for x
    x = 480,242.07/902.59
  6. Step 6: Final answer
    x = 532.07

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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.