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Finding the Fourth Proportional to 514.90, 711 and 328.72

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Solution

The fourth proportional to 514.90, 711 and 328.72 is: 453.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.90 : 711 = 328.72 : x
  2. Step 2: Convert to fraction form
    514.90/711 = 328.72/x
  3. Step 3: Cross multiply
    514.90x = 711 × 328.72
  4. Step 4: Simplify right side
    514.90x = 233,719.92
  5. Step 5: Solve for x
    x = 233,719.92/514.90
  6. Step 6: Final answer
    x = 453.91

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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.