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Finding the Fourth Proportional to 514.38, 710.08 and 328.12

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Solution

The fourth proportional to 514.38, 710.08 and 328.12 is: 452.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.38 : 710.08 = 328.12 : x
  2. Step 2: Convert to fraction form
    514.38/710.08 = 328.12/x
  3. Step 3: Cross multiply
    514.38x = 710.08 × 328.12
  4. Step 4: Simplify right side
    514.38x = 232,988.85
  5. Step 5: Solve for x
    x = 232,988.85/514.38
  6. Step 6: Final answer
    x = 452.95

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Double scale
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1.5x scale

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.