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Finding the Fourth Proportional to 486.67, 726.27 and 434.77

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Solution

The fourth proportional to 486.67, 726.27 and 434.77 is: 648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.67 : 726.27 = 434.77 : x
  2. Step 2: Convert to fraction form
    486.67/726.27 = 434.77/x
  3. Step 3: Cross multiply
    486.67x = 726.27 × 434.77
  4. Step 4: Simplify right side
    486.67x = 315,756.96
  5. Step 5: Solve for x
    x = 315,756.96/486.67
  6. Step 6: Final answer
    x = 648.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.