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Finding the Fourth Proportional to 1,034.16, 1,543.67 and 911.15

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Solution

The fourth proportional to 1,034.16, 1,543.67 and 911.15 is: 1,360.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.16 : 1,543.67 = 911.15 : x
  2. Step 2: Convert to fraction form
    1,034.16/1,543.67 = 911.15/x
  3. Step 3: Cross multiply
    1,034.16x = 1,543.67 × 911.15
  4. Step 4: Simplify right side
    1,034.16x = 1,406,507.20
  5. Step 5: Solve for x
    x = 1,406,507.20/1,034.16
  6. Step 6: Final answer
    x = 1,360.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.