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Finding the Fourth Proportional to 582.50, 870.38 and 440.85

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Solution

The fourth proportional to 582.50, 870.38 and 440.85 is: 658.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.50 : 870.38 = 440.85 : x
  2. Step 2: Convert to fraction form
    582.50/870.38 = 440.85/x
  3. Step 3: Cross multiply
    582.50x = 870.38 × 440.85
  4. Step 4: Simplify right side
    582.50x = 383,709.74
  5. Step 5: Solve for x
    x = 383,709.74/582.50
  6. Step 6: Final answer
    x = 658.73

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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.