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Finding the Fourth Proportional to 1,068.27, 1,474.41 and 642.78

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Solution

The fourth proportional to 1,068.27, 1,474.41 and 642.78 is: 887.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.27 : 1,474.41 = 642.78 : x
  2. Step 2: Convert to fraction form
    1,068.27/1,474.41 = 642.78/x
  3. Step 3: Cross multiply
    1,068.27x = 1,474.41 × 642.78
  4. Step 4: Simplify right side
    1,068.27x = 947,721.26
  5. Step 5: Solve for x
    x = 947,721.26/1,068.27
  6. Step 6: Final answer
    x = 887.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.