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Finding the Fourth Proportional to 655.52, 978.76 and 582.56

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Solution

The fourth proportional to 655.52, 978.76 and 582.56 is: 869.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.52 : 978.76 = 582.56 : x
  2. Step 2: Convert to fraction form
    655.52/978.76 = 582.56/x
  3. Step 3: Cross multiply
    655.52x = 978.76 × 582.56
  4. Step 4: Simplify right side
    655.52x = 570,186.43
  5. Step 5: Solve for x
    x = 570,186.43/655.52
  6. Step 6: Final answer
    x = 869.82

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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.