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Finding the Fourth Proportional to 1,068.52, 1,474.02 and 649

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Solution

The fourth proportional to 1,068.52, 1,474.02 and 649 is: 895.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.52 : 1,474.02 = 649 : x
  2. Step 2: Convert to fraction form
    1,068.52/1,474.02 = 649/x
  3. Step 3: Cross multiply
    1,068.52x = 1,474.02 × 649
  4. Step 4: Simplify right side
    1,068.52x = 956,638.98
  5. Step 5: Solve for x
    x = 956,638.98/1,068.52
  6. Step 6: Final answer
    x = 895.29

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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.