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Finding the Fourth Proportional to 528.46, 729.34 and 318.65

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Solution

The fourth proportional to 528.46, 729.34 and 318.65 is: 439.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.46 : 729.34 = 318.65 : x
  2. Step 2: Convert to fraction form
    528.46/729.34 = 318.65/x
  3. Step 3: Cross multiply
    528.46x = 729.34 × 318.65
  4. Step 4: Simplify right side
    528.46x = 232,399.75
  5. Step 5: Solve for x
    x = 232,399.75/528.46
  6. Step 6: Final answer
    x = 439.77

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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.