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Finding the Fourth Proportional to 487.84, 728.23 and 451.71

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Solution

The fourth proportional to 487.84, 728.23 and 451.71 is: 674.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.84 : 728.23 = 451.71 : x
  2. Step 2: Convert to fraction form
    487.84/728.23 = 451.71/x
  3. Step 3: Cross multiply
    487.84x = 728.23 × 451.71
  4. Step 4: Simplify right side
    487.84x = 328,947.99
  5. Step 5: Solve for x
    x = 328,947.99/487.84
  6. Step 6: Final answer
    x = 674.29

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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.