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Finding the Fourth Proportional to 473.40, 711.18 and 409.14

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Solution

The fourth proportional to 473.40, 711.18 and 409.14 is: 614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.40 : 711.18 = 409.14 : x
  2. Step 2: Convert to fraction form
    473.40/711.18 = 409.14/x
  3. Step 3: Cross multiply
    473.40x = 711.18 × 409.14
  4. Step 4: Simplify right side
    473.40x = 290,972.19
  5. Step 5: Solve for x
    x = 290,972.19/473.40
  6. Step 6: Final answer
    x = 614.64

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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.