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Finding the Fourth Proportional to 582.97, 873.67 and 428.17

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Solution

The fourth proportional to 582.97, 873.67 and 428.17 is: 641.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.97 : 873.67 = 428.17 : x
  2. Step 2: Convert to fraction form
    582.97/873.67 = 428.17/x
  3. Step 3: Cross multiply
    582.97x = 873.67 × 428.17
  4. Step 4: Simplify right side
    582.97x = 374,079.28
  5. Step 5: Solve for x
    x = 374,079.28/582.97
  6. Step 6: Final answer
    x = 641.68

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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.