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Finding the Fourth Proportional to 585, 876.57 and 497.97

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Solution

The fourth proportional to 585, 876.57 and 497.97 is: 746.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    585 : 876.57 = 497.97 : x
  2. Step 2: Convert to fraction form
    585/876.57 = 497.97/x
  3. Step 3: Cross multiply
    585x = 876.57 × 497.97
  4. Step 4: Simplify right side
    585x = 436,505.56
  5. Step 5: Solve for x
    x = 436,505.56/585
  6. Step 6: Final answer
    x = 746.16

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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.