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Finding the Fourth Proportional to 582.98, 871.70 and 506.70

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Solution

The fourth proportional to 582.98, 871.70 and 506.70 is: 757.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.98 : 871.70 = 506.70 : x
  2. Step 2: Convert to fraction form
    582.98/871.70 = 506.70/x
  3. Step 3: Cross multiply
    582.98x = 871.70 × 506.70
  4. Step 4: Simplify right side
    582.98x = 441,687.86
  5. Step 5: Solve for x
    x = 441,687.86/582.98
  6. Step 6: Final answer
    x = 757.64

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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.