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Finding the Fourth Proportional to 763.17, 1,046.85 and 756.59

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Solution

The fourth proportional to 763.17, 1,046.85 and 756.59 is: 1,037.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.17 : 1,046.85 = 756.59 : x
  2. Step 2: Convert to fraction form
    763.17/1,046.85 = 756.59/x
  3. Step 3: Cross multiply
    763.17x = 1,046.85 × 756.59
  4. Step 4: Simplify right side
    763.17x = 792,036.19
  5. Step 5: Solve for x
    x = 792,036.19/763.17
  6. Step 6: Final answer
    x = 1,037.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.