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Finding the Fourth Proportional to 445.97, 614.72 and 340.72

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Solution

The fourth proportional to 445.97, 614.72 and 340.72 is: 469.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.97 : 614.72 = 340.72 : x
  2. Step 2: Convert to fraction form
    445.97/614.72 = 340.72/x
  3. Step 3: Cross multiply
    445.97x = 614.72 × 340.72
  4. Step 4: Simplify right side
    445.97x = 209,446.71
  5. Step 5: Solve for x
    x = 209,446.71/445.97
  6. Step 6: Final answer
    x = 469.64

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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.