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Finding the Fourth Proportional to 486.61, 725.04 and 473.55

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Solution

The fourth proportional to 486.61, 725.04 and 473.55 is: 705.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.61 : 725.04 = 473.55 : x
  2. Step 2: Convert to fraction form
    486.61/725.04 = 473.55/x
  3. Step 3: Cross multiply
    486.61x = 725.04 × 473.55
  4. Step 4: Simplify right side
    486.61x = 343,344.05
  5. Step 5: Solve for x
    x = 343,344.05/486.61
  6. Step 6: Final answer
    x = 705.58

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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.