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Finding the Fourth Proportional to 934.65, 1,290.05 and 541.90

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Solution

The fourth proportional to 934.65, 1,290.05 and 541.90 is: 747.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.65 : 1,290.05 = 541.90 : x
  2. Step 2: Convert to fraction form
    934.65/1,290.05 = 541.90/x
  3. Step 3: Cross multiply
    934.65x = 1,290.05 × 541.90
  4. Step 4: Simplify right side
    934.65x = 699,079.97
  5. Step 5: Solve for x
    x = 699,079.97/934.65
  6. Step 6: Final answer
    x = 747.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.