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Finding the Fourth Proportional to 897.96, 1,239.13 and 543.97

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Solution

The fourth proportional to 897.96, 1,239.13 and 543.97 is: 750.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.96 : 1,239.13 = 543.97 : x
  2. Step 2: Convert to fraction form
    897.96/1,239.13 = 543.97/x
  3. Step 3: Cross multiply
    897.96x = 1,239.13 × 543.97
  4. Step 4: Simplify right side
    897.96x = 674,049.55
  5. Step 5: Solve for x
    x = 674,049.55/897.96
  6. Step 6: Final answer
    x = 750.65

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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.