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Finding the Fourth Proportional to 1,356.43, 2,034.90 and 431.74

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Solution

The fourth proportional to 1,356.43, 2,034.90 and 431.74 is: 647.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.43 : 2,034.90 = 431.74 : x
  2. Step 2: Convert to fraction form
    1,356.43/2,034.90 = 431.74/x
  3. Step 3: Cross multiply
    1,356.43x = 2,034.90 × 431.74
  4. Step 4: Simplify right side
    1,356.43x = 878,547.73
  5. Step 5: Solve for x
    x = 878,547.73/1,356.43
  6. Step 6: Final answer
    x = 647.69

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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.