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Finding the Fourth Proportional to 470.24, 648.48 and 417.62

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Solution

The fourth proportional to 470.24, 648.48 and 417.62 is: 575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.24 : 648.48 = 417.62 : x
  2. Step 2: Convert to fraction form
    470.24/648.48 = 417.62/x
  3. Step 3: Cross multiply
    470.24x = 648.48 × 417.62
  4. Step 4: Simplify right side
    470.24x = 270,818.22
  5. Step 5: Solve for x
    x = 270,818.22/470.24
  6. Step 6: Final answer
    x = 575.91

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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.