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Finding the Fourth Proportional to 750.34, 1,034.46 and 617.06

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Solution

The fourth proportional to 750.34, 1,034.46 and 617.06 is: 850.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.34 : 1,034.46 = 617.06 : x
  2. Step 2: Convert to fraction form
    750.34/1,034.46 = 617.06/x
  3. Step 3: Cross multiply
    750.34x = 1,034.46 × 617.06
  4. Step 4: Simplify right side
    750.34x = 638,323.89
  5. Step 5: Solve for x
    x = 638,323.89/750.34
  6. Step 6: Final answer
    x = 850.71

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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.