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Finding the Fourth Proportional to 486.01, 725.34 and 473.05

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Solution

The fourth proportional to 486.01, 725.34 and 473.05 is: 706.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.01 : 725.34 = 473.05 : x
  2. Step 2: Convert to fraction form
    486.01/725.34 = 473.05/x
  3. Step 3: Cross multiply
    486.01x = 725.34 × 473.05
  4. Step 4: Simplify right side
    486.01x = 343,122.09
  5. Step 5: Solve for x
    x = 343,122.09/486.01
  6. Step 6: Final answer
    x = 706.00

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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.