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Finding the Fourth Proportional to 1,356.05, 2,034.13 and 431.51

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Solution

The fourth proportional to 1,356.05, 2,034.13 and 431.51 is: 647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.05 : 2,034.13 = 431.51 : x
  2. Step 2: Convert to fraction form
    1,356.05/2,034.13 = 431.51/x
  3. Step 3: Cross multiply
    1,356.05x = 2,034.13 × 431.51
  4. Step 4: Simplify right side
    1,356.05x = 877,747.44
  5. Step 5: Solve for x
    x = 877,747.44/1,356.05
  6. Step 6: Final answer
    x = 647.28

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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.