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Finding the Fourth Proportional to 473.77, 706.87 and 459.19

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Solution

The fourth proportional to 473.77, 706.87 and 459.19 is: 685.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.77 : 706.87 = 459.19 : x
  2. Step 2: Convert to fraction form
    473.77/706.87 = 459.19/x
  3. Step 3: Cross multiply
    473.77x = 706.87 × 459.19
  4. Step 4: Simplify right side
    473.77x = 324,587.64
  5. Step 5: Solve for x
    x = 324,587.64/473.77
  6. Step 6: Final answer
    x = 685.12

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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.