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Finding the Fourth Proportional to 1,541.01, 2,312.13 and 674.72

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Solution

The fourth proportional to 1,541.01, 2,312.13 and 674.72 is: 1,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.01 : 2,312.13 = 674.72 : x
  2. Step 2: Convert to fraction form
    1,541.01/2,312.13 = 674.72/x
  3. Step 3: Cross multiply
    1,541.01x = 2,312.13 × 674.72
  4. Step 4: Simplify right side
    1,541.01x = 1,560,036.20
  5. Step 5: Solve for x
    x = 1,560,036.20/1,541.01
  6. Step 6: Final answer
    x = 1,012.34

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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.