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Finding the Fourth Proportional to 585.50, 874.08 and 497.91

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Solution

The fourth proportional to 585.50, 874.08 and 497.91 is: 743.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.50 : 874.08 = 497.91 : x
  2. Step 2: Convert to fraction form
    585.50/874.08 = 497.91/x
  3. Step 3: Cross multiply
    585.50x = 874.08 × 497.91
  4. Step 4: Simplify right side
    585.50x = 435,213.17
  5. Step 5: Solve for x
    x = 435,213.17/585.50
  6. Step 6: Final answer
    x = 743.33

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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.