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Finding the Fourth Proportional to 815.98, 1,125.96 and 461.86

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Solution

The fourth proportional to 815.98, 1,125.96 and 461.86 is: 637.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.98 : 1,125.96 = 461.86 : x
  2. Step 2: Convert to fraction form
    815.98/1,125.96 = 461.86/x
  3. Step 3: Cross multiply
    815.98x = 1,125.96 × 461.86
  4. Step 4: Simplify right side
    815.98x = 520,035.89
  5. Step 5: Solve for x
    x = 520,035.89/815.98
  6. Step 6: Final answer
    x = 637.31

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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.