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Finding the Fourth Proportional to 1,356.41, 2,034.76 and 534.57

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Solution

The fourth proportional to 1,356.41, 2,034.76 and 534.57 is: 801.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.41 : 2,034.76 = 534.57 : x
  2. Step 2: Convert to fraction form
    1,356.41/2,034.76 = 534.57/x
  3. Step 3: Cross multiply
    1,356.41x = 2,034.76 × 534.57
  4. Step 4: Simplify right side
    1,356.41x = 1,087,721.65
  5. Step 5: Solve for x
    x = 1,087,721.65/1,356.41
  6. Step 6: Final answer
    x = 801.91

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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.