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Finding the Fourth Proportional to 749.80, 1,034.80 and 470.25

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Solution

The fourth proportional to 749.80, 1,034.80 and 470.25 is: 648.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.80 : 1,034.80 = 470.25 : x
  2. Step 2: Convert to fraction form
    749.80/1,034.80 = 470.25/x
  3. Step 3: Cross multiply
    749.80x = 1,034.80 × 470.25
  4. Step 4: Simplify right side
    749.80x = 486,613.52
  5. Step 5: Solve for x
    x = 486,613.52/749.80
  6. Step 6: Final answer
    x = 648.99

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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.