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Finding the Fourth Proportional to 1,356.60, 2,034.18 and 431.76

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Solution

The fourth proportional to 1,356.60, 2,034.18 and 431.76 is: 647.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.60 : 2,034.18 = 431.76 : x
  2. Step 2: Convert to fraction form
    1,356.60/2,034.18 = 431.76/x
  3. Step 3: Cross multiply
    1,356.60x = 2,034.18 × 431.76
  4. Step 4: Simplify right side
    1,356.60x = 878,277.56
  5. Step 5: Solve for x
    x = 878,277.56/1,356.60
  6. Step 6: Final answer
    x = 647.41

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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.