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Finding the Fourth Proportional to 651.28, 971.29 and 554.38

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Solution

The fourth proportional to 651.28, 971.29 and 554.38 is: 826.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.28 : 971.29 = 554.38 : x
  2. Step 2: Convert to fraction form
    651.28/971.29 = 554.38/x
  3. Step 3: Cross multiply
    651.28x = 971.29 × 554.38
  4. Step 4: Simplify right side
    651.28x = 538,463.75
  5. Step 5: Solve for x
    x = 538,463.75/651.28
  6. Step 6: Final answer
    x = 826.78

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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.