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Finding the Fourth Proportional to 1,427.31, 2,141.06 and 502.74

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Solution

The fourth proportional to 1,427.31, 2,141.06 and 502.74 is: 754.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.31 : 2,141.06 = 502.74 : x
  2. Step 2: Convert to fraction form
    1,427.31/2,141.06 = 502.74/x
  3. Step 3: Cross multiply
    1,427.31x = 2,141.06 × 502.74
  4. Step 4: Simplify right side
    1,427.31x = 1,076,393.99
  5. Step 5: Solve for x
    x = 1,076,393.99/1,427.31
  6. Step 6: Final answer
    x = 754.14

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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.