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Finding the Fourth Proportional to 483.76, 726.78 and 476.20

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Solution

The fourth proportional to 483.76, 726.78 and 476.20 is: 715.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.76 : 726.78 = 476.20 : x
  2. Step 2: Convert to fraction form
    483.76/726.78 = 476.20/x
  3. Step 3: Cross multiply
    483.76x = 726.78 × 476.20
  4. Step 4: Simplify right side
    483.76x = 346,092.64
  5. Step 5: Solve for x
    x = 346,092.64/483.76
  6. Step 6: Final answer
    x = 715.42

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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.