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Finding the Fourth Proportional to 897.38, 1,238.39 and 543.31

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Solution

The fourth proportional to 897.38, 1,238.39 and 543.31 is: 749.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.38 : 1,238.39 = 543.31 : x
  2. Step 2: Convert to fraction form
    897.38/1,238.39 = 543.31/x
  3. Step 3: Cross multiply
    897.38x = 1,238.39 × 543.31
  4. Step 4: Simplify right side
    897.38x = 672,825.90
  5. Step 5: Solve for x
    x = 672,825.90/897.38
  6. Step 6: Final answer
    x = 749.77

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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.