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Finding the Fourth Proportional to 1,038.17, 1,431.92 and 723.54

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Solution

The fourth proportional to 1,038.17, 1,431.92 and 723.54 is: 997.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.17 : 1,431.92 = 723.54 : x
  2. Step 2: Convert to fraction form
    1,038.17/1,431.92 = 723.54/x
  3. Step 3: Cross multiply
    1,038.17x = 1,431.92 × 723.54
  4. Step 4: Simplify right side
    1,038.17x = 1,036,044.24
  5. Step 5: Solve for x
    x = 1,036,044.24/1,038.17
  6. Step 6: Final answer
    x = 997.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.