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Finding the Fourth Proportional to 934.46, 1,397.54 and 700.78

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Solution

The fourth proportional to 934.46, 1,397.54 and 700.78 is: 1,048.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.46 : 1,397.54 = 700.78 : x
  2. Step 2: Convert to fraction form
    934.46/1,397.54 = 700.78/x
  3. Step 3: Cross multiply
    934.46x = 1,397.54 × 700.78
  4. Step 4: Simplify right side
    934.46x = 979,368.08
  5. Step 5: Solve for x
    x = 979,368.08/934.46
  6. Step 6: Final answer
    x = 1,048.06

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Why These Related Problems?

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