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Finding the Fourth Proportional to 1,543.14, 2,315.11 and 618.73

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Solution

The fourth proportional to 1,543.14, 2,315.11 and 618.73 is: 928.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.14 : 2,315.11 = 618.73 : x
  2. Step 2: Convert to fraction form
    1,543.14/2,315.11 = 618.73/x
  3. Step 3: Cross multiply
    1,543.14x = 2,315.11 × 618.73
  4. Step 4: Simplify right side
    1,543.14x = 1,432,428.01
  5. Step 5: Solve for x
    x = 1,432,428.01/1,543.14
  6. Step 6: Final answer
    x = 928.26

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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.