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Finding the Fourth Proportional to 834.45, 1,251.18 and 510.05

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Solution

The fourth proportional to 834.45, 1,251.18 and 510.05 is: 764.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.45 : 1,251.18 = 510.05 : x
  2. Step 2: Convert to fraction form
    834.45/1,251.18 = 510.05/x
  3. Step 3: Cross multiply
    834.45x = 1,251.18 × 510.05
  4. Step 4: Simplify right side
    834.45x = 638,158.10
  5. Step 5: Solve for x
    x = 638,158.10/834.45
  6. Step 6: Final answer
    x = 764.76

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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.