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Finding the Fourth Proportional to 988.12, 1,363.80 and 589.90

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Solution

The fourth proportional to 988.12, 1,363.80 and 589.90 is: 814.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.12 : 1,363.80 = 589.90 : x
  2. Step 2: Convert to fraction form
    988.12/1,363.80 = 589.90/x
  3. Step 3: Cross multiply
    988.12x = 1,363.80 × 589.90
  4. Step 4: Simplify right side
    988.12x = 804,505.62
  5. Step 5: Solve for x
    x = 804,505.62/988.12
  6. Step 6: Final answer
    x = 814.18

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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.