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Finding the Fourth Proportional to 897.31, 1,238.12 and 543.14

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Solution

The fourth proportional to 897.31, 1,238.12 and 543.14 is: 749.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.31 : 1,238.12 = 543.14 : x
  2. Step 2: Convert to fraction form
    897.31/1,238.12 = 543.14/x
  3. Step 3: Cross multiply
    897.31x = 1,238.12 × 543.14
  4. Step 4: Simplify right side
    897.31x = 672,470.27
  5. Step 5: Solve for x
    x = 672,470.27/897.31
  6. Step 6: Final answer
    x = 749.43

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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.