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Finding the Fourth Proportional to 733.97, 1,010.63 and 675.20

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Solution

The fourth proportional to 733.97, 1,010.63 and 675.20 is: 929.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.97 : 1,010.63 = 675.20 : x
  2. Step 2: Convert to fraction form
    733.97/1,010.63 = 675.20/x
  3. Step 3: Cross multiply
    733.97x = 1,010.63 × 675.20
  4. Step 4: Simplify right side
    733.97x = 682,368.95
  5. Step 5: Solve for x
    x = 682,368.95/733.97
  6. Step 6: Final answer
    x = 929.70

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1.5x scale

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.