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Finding the Fourth Proportional to 987.97, 1,363.26 and 589.76

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Solution

The fourth proportional to 987.97, 1,363.26 and 589.76 is: 813.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.97 : 1,363.26 = 589.76 : x
  2. Step 2: Convert to fraction form
    987.97/1,363.26 = 589.76/x
  3. Step 3: Cross multiply
    987.97x = 1,363.26 × 589.76
  4. Step 4: Simplify right side
    987.97x = 803,996.22
  5. Step 5: Solve for x
    x = 803,996.22/987.97
  6. Step 6: Final answer
    x = 813.79

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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.