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Finding the Fourth Proportional to 515.23, 711.12 and 318.83

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Solution

The fourth proportional to 515.23, 711.12 and 318.83 is: 440.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.23 : 711.12 = 318.83 : x
  2. Step 2: Convert to fraction form
    515.23/711.12 = 318.83/x
  3. Step 3: Cross multiply
    515.23x = 711.12 × 318.83
  4. Step 4: Simplify right side
    515.23x = 226,724.80
  5. Step 5: Solve for x
    x = 226,724.80/515.23
  6. Step 6: Final answer
    x = 440.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.