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Finding the Fourth Proportional to 1,034.10, 1,550.97 and 340.76

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Solution

The fourth proportional to 1,034.10, 1,550.97 and 340.76 is: 511.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.10 : 1,550.97 = 340.76 : x
  2. Step 2: Convert to fraction form
    1,034.10/1,550.97 = 340.76/x
  3. Step 3: Cross multiply
    1,034.10x = 1,550.97 × 340.76
  4. Step 4: Simplify right side
    1,034.10x = 528,500.78
  5. Step 5: Solve for x
    x = 528,500.78/1,034.10
  6. Step 6: Final answer
    x = 511.07

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