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Finding the Fourth Proportional to 635.91, 877.05 and 565.10

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Solution

The fourth proportional to 635.91, 877.05 and 565.10 is: 779.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.91 : 877.05 = 565.10 : x
  2. Step 2: Convert to fraction form
    635.91/877.05 = 565.10/x
  3. Step 3: Cross multiply
    635.91x = 877.05 × 565.10
  4. Step 4: Simplify right side
    635.91x = 495,616.57
  5. Step 5: Solve for x
    x = 495,616.57/635.91
  6. Step 6: Final answer
    x = 779.38

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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.