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Finding the Fourth Proportional to 751.67, 1,034.84 and 640.50

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Solution

The fourth proportional to 751.67, 1,034.84 and 640.50 is: 881.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.67 : 1,034.84 = 640.50 : x
  2. Step 2: Convert to fraction form
    751.67/1,034.84 = 640.50/x
  3. Step 3: Cross multiply
    751.67x = 1,034.84 × 640.50
  4. Step 4: Simplify right side
    751.67x = 662,815.02
  5. Step 5: Solve for x
    x = 662,815.02/751.67
  6. Step 6: Final answer
    x = 881.79

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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.