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Finding the Fourth Proportional to 733.40, 1,010.86 and 511.88

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Solution

The fourth proportional to 733.40, 1,010.86 and 511.88 is: 705.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.40 : 1,010.86 = 511.88 : x
  2. Step 2: Convert to fraction form
    733.40/1,010.86 = 511.88/x
  3. Step 3: Cross multiply
    733.40x = 1,010.86 × 511.88
  4. Step 4: Simplify right side
    733.40x = 517,439.02
  5. Step 5: Solve for x
    x = 517,439.02/733.40
  6. Step 6: Final answer
    x = 705.53

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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.