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Finding the Fourth Proportional to 486.54, 726.34 and 469.45

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Solution

The fourth proportional to 486.54, 726.34 and 469.45 is: 700.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.54 : 726.34 = 469.45 : x
  2. Step 2: Convert to fraction form
    486.54/726.34 = 469.45/x
  3. Step 3: Cross multiply
    486.54x = 726.34 × 469.45
  4. Step 4: Simplify right side
    486.54x = 340,983.89
  5. Step 5: Solve for x
    x = 340,983.89/486.54
  6. Step 6: Final answer
    x = 700.84

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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.