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Finding the Fourth Proportional to 1,049.45, 1,573.56 and 615.70

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Solution

The fourth proportional to 1,049.45, 1,573.56 and 615.70 is: 923.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.45 : 1,573.56 = 615.70 : x
  2. Step 2: Convert to fraction form
    1,049.45/1,573.56 = 615.70/x
  3. Step 3: Cross multiply
    1,049.45x = 1,573.56 × 615.70
  4. Step 4: Simplify right side
    1,049.45x = 968,840.89
  5. Step 5: Solve for x
    x = 968,840.89/1,049.45
  6. Step 6: Final answer
    x = 923.19

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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.