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Finding the Fourth Proportional to 1,903.17, 2,854.95 and 516.53

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Solution

The fourth proportional to 1,903.17, 2,854.95 and 516.53 is: 774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.17 : 2,854.95 = 516.53 : x
  2. Step 2: Convert to fraction form
    1,903.17/2,854.95 = 516.53/x
  3. Step 3: Cross multiply
    1,903.17x = 2,854.95 × 516.53
  4. Step 4: Simplify right side
    1,903.17x = 1,474,667.32
  5. Step 5: Solve for x
    x = 1,474,667.32/1,903.17
  6. Step 6: Final answer
    x = 774.85

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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.