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Finding the Fourth Proportional to 470.38, 701.38 and 469.48

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Solution

The fourth proportional to 470.38, 701.38 and 469.48 is: 700.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.38 : 701.38 = 469.48 : x
  2. Step 2: Convert to fraction form
    470.38/701.38 = 469.48/x
  3. Step 3: Cross multiply
    470.38x = 701.38 × 469.48
  4. Step 4: Simplify right side
    470.38x = 329,283.88
  5. Step 5: Solve for x
    x = 329,283.88/470.38
  6. Step 6: Final answer
    x = 700.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.