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Finding the Fourth Proportional to 486.51, 726.09 and 473.55

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Solution

The fourth proportional to 486.51, 726.09 and 473.55 is: 706.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.51 : 726.09 = 473.55 : x
  2. Step 2: Convert to fraction form
    486.51/726.09 = 473.55/x
  3. Step 3: Cross multiply
    486.51x = 726.09 × 473.55
  4. Step 4: Simplify right side
    486.51x = 343,837.55
  5. Step 5: Solve for x
    x = 343,837.55/486.51
  6. Step 6: Final answer
    x = 706.74

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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.