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Finding the Fourth Proportional to 651.42, 972.08 and 582.20

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Solution

The fourth proportional to 651.42, 972.08 and 582.20 is: 868.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.42 : 972.08 = 582.20 : x
  2. Step 2: Convert to fraction form
    651.42/972.08 = 582.20/x
  3. Step 3: Cross multiply
    651.42x = 972.08 × 582.20
  4. Step 4: Simplify right side
    651.42x = 565,943.03
  5. Step 5: Solve for x
    x = 565,943.03/651.42
  6. Step 6: Final answer
    x = 868.78

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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.