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Finding the Fourth Proportional to 750.39, 1,034.19 and 664.47

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Solution

The fourth proportional to 750.39, 1,034.19 and 664.47 is: 915.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.39 : 1,034.19 = 664.47 : x
  2. Step 2: Convert to fraction form
    750.39/1,034.19 = 664.47/x
  3. Step 3: Cross multiply
    750.39x = 1,034.19 × 664.47
  4. Step 4: Simplify right side
    750.39x = 687,188.23
  5. Step 5: Solve for x
    x = 687,188.23/750.39
  6. Step 6: Final answer
    x = 915.77

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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.