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Finding the Fourth Proportional to 763.82, 1,146.18 and 701.84

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Solution

The fourth proportional to 763.82, 1,146.18 and 701.84 is: 1,053.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.82 : 1,146.18 = 701.84 : x
  2. Step 2: Convert to fraction form
    763.82/1,146.18 = 701.84/x
  3. Step 3: Cross multiply
    763.82x = 1,146.18 × 701.84
  4. Step 4: Simplify right side
    763.82x = 804,434.97
  5. Step 5: Solve for x
    x = 804,434.97/763.82
  6. Step 6: Final answer
    x = 1,053.17

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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.