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Finding the Fourth Proportional to 733.77, 1,012.26 and 512.82

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Solution

The fourth proportional to 733.77, 1,012.26 and 512.82 is: 707.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.77 : 1,012.26 = 512.82 : x
  2. Step 2: Convert to fraction form
    733.77/1,012.26 = 512.82/x
  3. Step 3: Cross multiply
    733.77x = 1,012.26 × 512.82
  4. Step 4: Simplify right side
    733.77x = 519,107.17
  5. Step 5: Solve for x
    x = 519,107.17/733.77
  6. Step 6: Final answer
    x = 707.45

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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.