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Finding the Fourth Proportional to 586.23, 874.17 and 557.52

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Solution

The fourth proportional to 586.23, 874.17 and 557.52 is: 831.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.23 : 874.17 = 557.52 : x
  2. Step 2: Convert to fraction form
    586.23/874.17 = 557.52/x
  3. Step 3: Cross multiply
    586.23x = 874.17 × 557.52
  4. Step 4: Simplify right side
    586.23x = 487,367.26
  5. Step 5: Solve for x
    x = 487,367.26/586.23
  6. Step 6: Final answer
    x = 831.36

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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.