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Finding the Fourth Proportional to 582.24, 869.14 and 505.42

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Solution

The fourth proportional to 582.24, 869.14 and 505.42 is: 754.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.24 : 869.14 = 505.42 : x
  2. Step 2: Convert to fraction form
    582.24/869.14 = 505.42/x
  3. Step 3: Cross multiply
    582.24x = 869.14 × 505.42
  4. Step 4: Simplify right side
    582.24x = 439,280.74
  5. Step 5: Solve for x
    x = 439,280.74/582.24
  6. Step 6: Final answer
    x = 754.47

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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.