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Finding the Fourth Proportional to 732.06, 1,009.71 and 511.07

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Solution

The fourth proportional to 732.06, 1,009.71 and 511.07 is: 704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.06 : 1,009.71 = 511.07 : x
  2. Step 2: Convert to fraction form
    732.06/1,009.71 = 511.07/x
  3. Step 3: Cross multiply
    732.06x = 1,009.71 × 511.07
  4. Step 4: Simplify right side
    732.06x = 516,027.44
  5. Step 5: Solve for x
    x = 516,027.44/732.06
  6. Step 6: Final answer
    x = 704.90

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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.