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Finding the Fourth Proportional to 470.12, 648.51 and 407.85

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Solution

The fourth proportional to 470.12, 648.51 and 407.85 is: 562.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.12 : 648.51 = 407.85 : x
  2. Step 2: Convert to fraction form
    470.12/648.51 = 407.85/x
  3. Step 3: Cross multiply
    470.12x = 648.51 × 407.85
  4. Step 4: Simplify right side
    470.12x = 264,494.80
  5. Step 5: Solve for x
    x = 264,494.80/470.12
  6. Step 6: Final answer
    x = 562.62

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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.