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Finding the Fourth Proportional to 1,034.32, 1,543.78 and 930.64

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Solution

The fourth proportional to 1,034.32, 1,543.78 and 930.64 is: 1,389.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.32 : 1,543.78 = 930.64 : x
  2. Step 2: Convert to fraction form
    1,034.32/1,543.78 = 930.64/x
  3. Step 3: Cross multiply
    1,034.32x = 1,543.78 × 930.64
  4. Step 4: Simplify right side
    1,034.32x = 1,436,703.42
  5. Step 5: Solve for x
    x = 1,436,703.42/1,034.32
  6. Step 6: Final answer
    x = 1,389.03

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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.