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Finding the Fourth Proportional to 733.67, 1,012.51 and 512.69

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Solution

The fourth proportional to 733.67, 1,012.51 and 512.69 is: 707.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.67 : 1,012.51 = 512.69 : x
  2. Step 2: Convert to fraction form
    733.67/1,012.51 = 512.69/x
  3. Step 3: Cross multiply
    733.67x = 1,012.51 × 512.69
  4. Step 4: Simplify right side
    733.67x = 519,107.17
  5. Step 5: Solve for x
    x = 519,107.17/733.67
  6. Step 6: Final answer
    x = 707.55

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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.