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Finding the Fourth Proportional to 474.89, 713.02 and 269.87

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Solution

The fourth proportional to 474.89, 713.02 and 269.87 is: 405.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.89 : 713.02 = 269.87 : x
  2. Step 2: Convert to fraction form
    474.89/713.02 = 269.87/x
  3. Step 3: Cross multiply
    474.89x = 713.02 × 269.87
  4. Step 4: Simplify right side
    474.89x = 192,422.71
  5. Step 5: Solve for x
    x = 192,422.71/474.89
  6. Step 6: Final answer
    x = 405.19

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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.