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Finding the Fourth Proportional to 484, 726.57 and 407.91

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Solution

The fourth proportional to 484, 726.57 and 407.91 is: 612.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    484 : 726.57 = 407.91 : x
  2. Step 2: Convert to fraction form
    484/726.57 = 407.91/x
  3. Step 3: Cross multiply
    484x = 726.57 × 407.91
  4. Step 4: Simplify right side
    484x = 296,375.17
  5. Step 5: Solve for x
    x = 296,375.17/484
  6. Step 6: Final answer
    x = 612.35

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