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Finding the Fourth Proportional to 1,355.86, 2,034.05 and 431.65

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Solution

The fourth proportional to 1,355.86, 2,034.05 and 431.65 is: 647.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.86 : 2,034.05 = 431.65 : x
  2. Step 2: Convert to fraction form
    1,355.86/2,034.05 = 431.65/x
  3. Step 3: Cross multiply
    1,355.86x = 2,034.05 × 431.65
  4. Step 4: Simplify right side
    1,355.86x = 877,997.68
  5. Step 5: Solve for x
    x = 877,997.68/1,355.86
  6. Step 6: Final answer
    x = 647.56

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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.