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Finding the Fourth Proportional to 409.52, 614.79 and 288.43

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Solution

The fourth proportional to 409.52, 614.79 and 288.43 is: 433.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.52 : 614.79 = 288.43 : x
  2. Step 2: Convert to fraction form
    409.52/614.79 = 288.43/x
  3. Step 3: Cross multiply
    409.52x = 614.79 × 288.43
  4. Step 4: Simplify right side
    409.52x = 177,322.34
  5. Step 5: Solve for x
    x = 177,322.34/409.52
  6. Step 6: Final answer
    x = 433.00

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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.