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Finding the Fourth Proportional to 1,356.50, 2,034.12 and 431.87

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Solution

The fourth proportional to 1,356.50, 2,034.12 and 431.87 is: 647.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.50 : 2,034.12 = 431.87 : x
  2. Step 2: Convert to fraction form
    1,356.50/2,034.12 = 431.87/x
  3. Step 3: Cross multiply
    1,356.50x = 2,034.12 × 431.87
  4. Step 4: Simplify right side
    1,356.50x = 878,475.40
  5. Step 5: Solve for x
    x = 878,475.40/1,356.50
  6. Step 6: Final answer
    x = 647.60

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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.