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Finding the Fourth Proportional to 473.61, 711.12 and 409.12

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Solution

The fourth proportional to 473.61, 711.12 and 409.12 is: 614.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.61 : 711.12 = 409.12 : x
  2. Step 2: Convert to fraction form
    473.61/711.12 = 409.12/x
  3. Step 3: Cross multiply
    473.61x = 711.12 × 409.12
  4. Step 4: Simplify right side
    473.61x = 290,933.41
  5. Step 5: Solve for x
    x = 290,933.41/473.61
  6. Step 6: Final answer
    x = 614.29

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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.