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Finding the Fourth Proportional to 833.62, 1,150 and 501.46

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Solution

The fourth proportional to 833.62, 1,150 and 501.46 is: 691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.62 : 1,150 = 501.46 : x
  2. Step 2: Convert to fraction form
    833.62/1,150 = 501.46/x
  3. Step 3: Cross multiply
    833.62x = 1,150 × 501.46
  4. Step 4: Simplify right side
    833.62x = 576,679
  5. Step 5: Solve for x
    x = 576,679/833.62
  6. Step 6: Final answer
    x = 691.78

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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.