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Finding the Fourth Proportional to 988.40, 1,364.12 and 595.44

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Solution

The fourth proportional to 988.40, 1,364.12 and 595.44 is: 821.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.40 : 1,364.12 = 595.44 : x
  2. Step 2: Convert to fraction form
    988.40/1,364.12 = 595.44/x
  3. Step 3: Cross multiply
    988.40x = 1,364.12 × 595.44
  4. Step 4: Simplify right side
    988.40x = 812,251.61
  5. Step 5: Solve for x
    x = 812,251.61/988.40
  6. Step 6: Final answer
    x = 821.78

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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.