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Finding the Fourth Proportional to 987.19, 1,362.16 and 588.73

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Solution

The fourth proportional to 987.19, 1,362.16 and 588.73 is: 812.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.19 : 1,362.16 = 588.73 : x
  2. Step 2: Convert to fraction form
    987.19/1,362.16 = 588.73/x
  3. Step 3: Cross multiply
    987.19x = 1,362.16 × 588.73
  4. Step 4: Simplify right side
    987.19x = 801,944.46
  5. Step 5: Solve for x
    x = 801,944.46/987.19
  6. Step 6: Final answer
    x = 812.35

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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.