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Finding the Fourth Proportional to 829.72, 1,242.18 and 625.15

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Solution

The fourth proportional to 829.72, 1,242.18 and 625.15 is: 935.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.72 : 1,242.18 = 625.15 : x
  2. Step 2: Convert to fraction form
    829.72/1,242.18 = 625.15/x
  3. Step 3: Cross multiply
    829.72x = 1,242.18 × 625.15
  4. Step 4: Simplify right side
    829.72x = 776,548.83
  5. Step 5: Solve for x
    x = 776,548.83/829.72
  6. Step 6: Final answer
    x = 935.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.