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Finding the Fourth Proportional to 562.56, 840.96 and 391.68

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Solution

The fourth proportional to 562.56, 840.96 and 391.68 is: 585.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.56 : 840.96 = 391.68 : x
  2. Step 2: Convert to fraction form
    562.56/840.96 = 391.68/x
  3. Step 3: Cross multiply
    562.56x = 840.96 × 391.68
  4. Step 4: Simplify right side
    562.56x = 329,387.21
  5. Step 5: Solve for x
    x = 329,387.21/562.56
  6. Step 6: Final answer
    x = 585.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.