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Finding the Fourth Proportional to 783.52, 1,082.20 and 587.88

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Solution

The fourth proportional to 783.52, 1,082.20 and 587.88 is: 811.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.52 : 1,082.20 = 587.88 : x
  2. Step 2: Convert to fraction form
    783.52/1,082.20 = 587.88/x
  3. Step 3: Cross multiply
    783.52x = 1,082.20 × 587.88
  4. Step 4: Simplify right side
    783.52x = 636,203.74
  5. Step 5: Solve for x
    x = 636,203.74/783.52
  6. Step 6: Final answer
    x = 811.98

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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.