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Finding the Fourth Proportional to 883.14, 1,218.95 and 588.70

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Solution

The fourth proportional to 883.14, 1,218.95 and 588.70 is: 812.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.14 : 1,218.95 = 588.70 : x
  2. Step 2: Convert to fraction form
    883.14/1,218.95 = 588.70/x
  3. Step 3: Cross multiply
    883.14x = 1,218.95 × 588.70
  4. Step 4: Simplify right side
    883.14x = 717,595.87
  5. Step 5: Solve for x
    x = 717,595.87/883.14
  6. Step 6: Final answer
    x = 812.55

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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.