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Finding the Fourth Proportional to 609.52, 841.12 and 402.88

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Solution

The fourth proportional to 609.52, 841.12 and 402.88 is: 555.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.52 : 841.12 = 402.88 : x
  2. Step 2: Convert to fraction form
    609.52/841.12 = 402.88/x
  3. Step 3: Cross multiply
    609.52x = 841.12 × 402.88
  4. Step 4: Simplify right side
    609.52x = 338,870.43
  5. Step 5: Solve for x
    x = 338,870.43/609.52
  6. Step 6: Final answer
    x = 555.96

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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.