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Finding the Fourth Proportional to 582.15, 869.20 and 523.85

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Solution

The fourth proportional to 582.15, 869.20 and 523.85 is: 782.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.15 : 869.20 = 523.85 : x
  2. Step 2: Convert to fraction form
    582.15/869.20 = 523.85/x
  3. Step 3: Cross multiply
    582.15x = 869.20 × 523.85
  4. Step 4: Simplify right side
    582.15x = 455,330.42
  5. Step 5: Solve for x
    x = 455,330.42/582.15
  6. Step 6: Final answer
    x = 782.15

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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.