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Finding the Fourth Proportional to 484.32, 726.30 and 407.82

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Solution

The fourth proportional to 484.32, 726.30 and 407.82 is: 611.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.32 : 726.30 = 407.82 : x
  2. Step 2: Convert to fraction form
    484.32/726.30 = 407.82/x
  3. Step 3: Cross multiply
    484.32x = 726.30 × 407.82
  4. Step 4: Simplify right side
    484.32x = 296,199.67
  5. Step 5: Solve for x
    x = 296,199.67/484.32
  6. Step 6: Final answer
    x = 611.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.