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Finding the Fourth Proportional to 470.64, 708.72 and 410.49

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Solution

The fourth proportional to 470.64, 708.72 and 410.49 is: 618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.64 : 708.72 = 410.49 : x
  2. Step 2: Convert to fraction form
    470.64/708.72 = 410.49/x
  3. Step 3: Cross multiply
    470.64x = 708.72 × 410.49
  4. Step 4: Simplify right side
    470.64x = 290,922.47
  5. Step 5: Solve for x
    x = 290,922.47/470.64
  6. Step 6: Final answer
    x = 618.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.