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Finding the Fourth Proportional to 886.85, 1,223.96 and 508.88

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Solution

The fourth proportional to 886.85, 1,223.96 and 508.88 is: 702.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.85 : 1,223.96 = 508.88 : x
  2. Step 2: Convert to fraction form
    886.85/1,223.96 = 508.88/x
  3. Step 3: Cross multiply
    886.85x = 1,223.96 × 508.88
  4. Step 4: Simplify right side
    886.85x = 622,840.10
  5. Step 5: Solve for x
    x = 622,840.10/886.85
  6. Step 6: Final answer
    x = 702.31

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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.