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Finding the Fourth Proportional to 470.08, 701.72 and 452.76

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Solution

The fourth proportional to 470.08, 701.72 and 452.76 is: 675.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.08 : 701.72 = 452.76 : x
  2. Step 2: Convert to fraction form
    470.08/701.72 = 452.76/x
  3. Step 3: Cross multiply
    470.08x = 701.72 × 452.76
  4. Step 4: Simplify right side
    470.08x = 317,710.75
  5. Step 5: Solve for x
    x = 317,710.75/470.08
  6. Step 6: Final answer
    x = 675.87

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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.