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Finding the Fourth Proportional to 834.87, 1,145.95 and 739.53

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Solution

The fourth proportional to 834.87, 1,145.95 and 739.53 is: 1,015.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.87 : 1,145.95 = 739.53 : x
  2. Step 2: Convert to fraction form
    834.87/1,145.95 = 739.53/x
  3. Step 3: Cross multiply
    834.87x = 1,145.95 × 739.53
  4. Step 4: Simplify right side
    834.87x = 847,462.55
  5. Step 5: Solve for x
    x = 847,462.55/834.87
  6. Step 6: Final answer
    x = 1,015.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.