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Finding the Fourth Proportional to 514.57, 710.34 and 328.31

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Solution

The fourth proportional to 514.57, 710.34 and 328.31 is: 453.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.57 : 710.34 = 328.31 : x
  2. Step 2: Convert to fraction form
    514.57/710.34 = 328.31/x
  3. Step 3: Cross multiply
    514.57x = 710.34 × 328.31
  4. Step 4: Simplify right side
    514.57x = 233,211.73
  5. Step 5: Solve for x
    x = 233,211.73/514.57
  6. Step 6: Final answer
    x = 453.22

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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.