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Finding the Fourth Proportional to 582.16, 869.20 and 523.84

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Solution

The fourth proportional to 582.16, 869.20 and 523.84 is: 782.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.16 : 869.20 = 523.84 : x
  2. Step 2: Convert to fraction form
    582.16/869.20 = 523.84/x
  3. Step 3: Cross multiply
    582.16x = 869.20 × 523.84
  4. Step 4: Simplify right side
    582.16x = 455,321.73
  5. Step 5: Solve for x
    x = 455,321.73/582.16
  6. Step 6: Final answer
    x = 782.12

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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.