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Finding the Fourth Proportional to 473.77, 711.19 and 281.80

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Solution

The fourth proportional to 473.77, 711.19 and 281.80 is: 423.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.77 : 711.19 = 281.80 : x
  2. Step 2: Convert to fraction form
    473.77/711.19 = 281.80/x
  3. Step 3: Cross multiply
    473.77x = 711.19 × 281.80
  4. Step 4: Simplify right side
    473.77x = 200,409.79
  5. Step 5: Solve for x
    x = 200,409.79/473.77
  6. Step 6: Final answer
    x = 423.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.