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Finding the Fourth Proportional to 635.95, 876.18 and 566.02

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Solution

The fourth proportional to 635.95, 876.18 and 566.02 is: 779.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.95 : 876.18 = 566.02 : x
  2. Step 2: Convert to fraction form
    635.95/876.18 = 566.02/x
  3. Step 3: Cross multiply
    635.95x = 876.18 × 566.02
  4. Step 4: Simplify right side
    635.95x = 495,935.40
  5. Step 5: Solve for x
    x = 495,935.40/635.95
  6. Step 6: Final answer
    x = 779.83

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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.