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Finding the Fourth Proportional to 1,285.68, 1,928.52 and 516

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Solution

The fourth proportional to 1,285.68, 1,928.52 and 516 is: 774.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.68 : 1,928.52 = 516 : x
  2. Step 2: Convert to fraction form
    1,285.68/1,928.52 = 516/x
  3. Step 3: Cross multiply
    1,285.68x = 1,928.52 × 516
  4. Step 4: Simplify right side
    1,285.68x = 995,116.32
  5. Step 5: Solve for x
    x = 995,116.32/1,285.68
  6. Step 6: Final answer
    x = 774.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.