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Finding the Fourth Proportional to 654.20, 903.52 and 434.16

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Solution

The fourth proportional to 654.20, 903.52 and 434.16 is: 599.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.20 : 903.52 = 434.16 : x
  2. Step 2: Convert to fraction form
    654.20/903.52 = 434.16/x
  3. Step 3: Cross multiply
    654.20x = 903.52 × 434.16
  4. Step 4: Simplify right side
    654.20x = 392,272.24
  5. Step 5: Solve for x
    x = 392,272.24/654.20
  6. Step 6: Final answer
    x = 599.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.