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Finding the Fourth Proportional to 934.77, 1,290.42 and 541.72

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Solution

The fourth proportional to 934.77, 1,290.42 and 541.72 is: 747.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.77 : 1,290.42 = 541.72 : x
  2. Step 2: Convert to fraction form
    934.77/1,290.42 = 541.72/x
  3. Step 3: Cross multiply
    934.77x = 1,290.42 × 541.72
  4. Step 4: Simplify right side
    934.77x = 699,043.10
  5. Step 5: Solve for x
    x = 699,043.10/934.77
  6. Step 6: Final answer
    x = 747.82

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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.