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Finding the Fourth Proportional to 651.98, 972.92 and 582.75

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Solution

The fourth proportional to 651.98, 972.92 and 582.75 is: 869.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.98 : 972.92 = 582.75 : x
  2. Step 2: Convert to fraction form
    651.98/972.92 = 582.75/x
  3. Step 3: Cross multiply
    651.98x = 972.92 × 582.75
  4. Step 4: Simplify right side
    651.98x = 566,966.22
  5. Step 5: Solve for x
    x = 566,966.22/651.98
  6. Step 6: Final answer
    x = 869.61

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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.