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Finding the Fourth Proportional to 470.12, 701.70 and 414.71

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Solution

The fourth proportional to 470.12, 701.70 and 414.71 is: 619.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.12 : 701.70 = 414.71 : x
  2. Step 2: Convert to fraction form
    470.12/701.70 = 414.71/x
  3. Step 3: Cross multiply
    470.12x = 701.70 × 414.71
  4. Step 4: Simplify right side
    470.12x = 291,005.85
  5. Step 5: Solve for x
    x = 291,005.85/470.12
  6. Step 6: Final answer
    x = 619.01

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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.