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Finding the Fourth Proportional to 2,702.46, 4,053.69 and 650.46

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Solution

The fourth proportional to 2,702.46, 4,053.69 and 650.46 is: 975.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.46 : 4,053.69 = 650.46 : x
  2. Step 2: Convert to fraction form
    2,702.46/4,053.69 = 650.46/x
  3. Step 3: Cross multiply
    2,702.46x = 4,053.69 × 650.46
  4. Step 4: Simplify right side
    2,702.46x = 2,636,763.20
  5. Step 5: Solve for x
    x = 2,636,763.20/2,702.46
  6. Step 6: Final answer
    x = 975.69

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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.