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Finding the Fourth Proportional to 785.52, 1,082.88 and 588.96

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Solution

The fourth proportional to 785.52, 1,082.88 and 588.96 is: 811.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.52 : 1,082.88 = 588.96 : x
  2. Step 2: Convert to fraction form
    785.52/1,082.88 = 588.96/x
  3. Step 3: Cross multiply
    785.52x = 1,082.88 × 588.96
  4. Step 4: Simplify right side
    785.52x = 637,773.00
  5. Step 5: Solve for x
    x = 637,773.00/785.52
  6. Step 6: Final answer
    x = 811.91

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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.