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Finding the Fourth Proportional to 635.71, 874.36 and 511.10

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Solution

The fourth proportional to 635.71, 874.36 and 511.10 is: 702.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.71 : 874.36 = 511.10 : x
  2. Step 2: Convert to fraction form
    635.71/874.36 = 511.10/x
  3. Step 3: Cross multiply
    635.71x = 874.36 × 511.10
  4. Step 4: Simplify right side
    635.71x = 446,879.75
  5. Step 5: Solve for x
    x = 446,879.75/635.71
  6. Step 6: Final answer
    x = 702.96

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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.