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Finding the Fourth Proportional to 582.03, 868.90 and 505.59

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Solution

The fourth proportional to 582.03, 868.90 and 505.59 is: 754.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.03 : 868.90 = 505.59 : x
  2. Step 2: Convert to fraction form
    582.03/868.90 = 505.59/x
  3. Step 3: Cross multiply
    582.03x = 868.90 × 505.59
  4. Step 4: Simplify right side
    582.03x = 439,305.89
  5. Step 5: Solve for x
    x = 439,305.89/582.03
  6. Step 6: Final answer
    x = 754.78

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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.