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Finding the Fourth Proportional to 470.27, 701.57 and 458.18

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Solution

The fourth proportional to 470.27, 701.57 and 458.18 is: 683.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.27 : 701.57 = 458.18 : x
  2. Step 2: Convert to fraction form
    470.27/701.57 = 458.18/x
  3. Step 3: Cross multiply
    470.27x = 701.57 × 458.18
  4. Step 4: Simplify right side
    470.27x = 321,449.56
  5. Step 5: Solve for x
    x = 321,449.56/470.27
  6. Step 6: Final answer
    x = 683.55

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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.