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Finding the Fourth Proportional to 582.88, 874.68 and 428.43

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Solution

The fourth proportional to 582.88, 874.68 and 428.43 is: 642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.88 : 874.68 = 428.43 : x
  2. Step 2: Convert to fraction form
    582.88/874.68 = 428.43/x
  3. Step 3: Cross multiply
    582.88x = 874.68 × 428.43
  4. Step 4: Simplify right side
    582.88x = 374,739.15
  5. Step 5: Solve for x
    x = 374,739.15/582.88
  6. Step 6: Final answer
    x = 642.91

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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.