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Finding the Fourth Proportional to 758.43, 1,046.88 and 683.28

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Solution

The fourth proportional to 758.43, 1,046.88 and 683.28 is: 943.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.43 : 1,046.88 = 683.28 : x
  2. Step 2: Convert to fraction form
    758.43/1,046.88 = 683.28/x
  3. Step 3: Cross multiply
    758.43x = 1,046.88 × 683.28
  4. Step 4: Simplify right side
    758.43x = 715,312.17
  5. Step 5: Solve for x
    x = 715,312.17/758.43
  6. Step 6: Final answer
    x = 943.15

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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.