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Finding the Fourth Proportional to 1,543.46, 2,316.54 and 813.56

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Solution

The fourth proportional to 1,543.46, 2,316.54 and 813.56 is: 1,221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.46 : 2,316.54 = 813.56 : x
  2. Step 2: Convert to fraction form
    1,543.46/2,316.54 = 813.56/x
  3. Step 3: Cross multiply
    1,543.46x = 2,316.54 × 813.56
  4. Step 4: Simplify right side
    1,543.46x = 1,884,644.28
  5. Step 5: Solve for x
    x = 1,884,644.28/1,543.46
  6. Step 6: Final answer
    x = 1,221.05

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