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Finding the Fourth Proportional to 987.86, 1,363.44 and 589.61

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Solution

The fourth proportional to 987.86, 1,363.44 and 589.61 is: 813.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.86 : 1,363.44 = 589.61 : x
  2. Step 2: Convert to fraction form
    987.86/1,363.44 = 589.61/x
  3. Step 3: Cross multiply
    987.86x = 1,363.44 × 589.61
  4. Step 4: Simplify right side
    987.86x = 803,897.86
  5. Step 5: Solve for x
    x = 803,897.86/987.86
  6. Step 6: Final answer
    x = 813.78

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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.