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Finding the Fourth Proportional to 621.84, 927.60 and 565.92

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Solution

The fourth proportional to 621.84, 927.60 and 565.92 is: 844.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.84 : 927.60 = 565.92 : x
  2. Step 2: Convert to fraction form
    621.84/927.60 = 565.92/x
  3. Step 3: Cross multiply
    621.84x = 927.60 × 565.92
  4. Step 4: Simplify right side
    621.84x = 524,947.39
  5. Step 5: Solve for x
    x = 524,947.39/621.84
  6. Step 6: Final answer
    x = 844.18

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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.