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Finding the Fourth Proportional to 430.71, 648.49 and 379.68

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Solution

The fourth proportional to 430.71, 648.49 and 379.68 is: 571.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.71 : 648.49 = 379.68 : x
  2. Step 2: Convert to fraction form
    430.71/648.49 = 379.68/x
  3. Step 3: Cross multiply
    430.71x = 648.49 × 379.68
  4. Step 4: Simplify right side
    430.71x = 246,218.68
  5. Step 5: Solve for x
    x = 246,218.68/430.71
  6. Step 6: Final answer
    x = 571.66

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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.