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Finding the Fourth Proportional to 815.57, 1,124.36 and 546.28

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Solution

The fourth proportional to 815.57, 1,124.36 and 546.28 is: 753.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.57 : 1,124.36 = 546.28 : x
  2. Step 2: Convert to fraction form
    815.57/1,124.36 = 546.28/x
  3. Step 3: Cross multiply
    815.57x = 1,124.36 × 546.28
  4. Step 4: Simplify right side
    815.57x = 614,211.89
  5. Step 5: Solve for x
    x = 614,211.89/815.57
  6. Step 6: Final answer
    x = 753.11

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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.