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Finding the Fourth Proportional to 1,512.69, 2,269.98 and 646.95

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Solution

The fourth proportional to 1,512.69, 2,269.98 and 646.95 is: 970.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.69 : 2,269.98 = 646.95 : x
  2. Step 2: Convert to fraction form
    1,512.69/2,269.98 = 646.95/x
  3. Step 3: Cross multiply
    1,512.69x = 2,269.98 × 646.95
  4. Step 4: Simplify right side
    1,512.69x = 1,468,563.56
  5. Step 5: Solve for x
    x = 1,468,563.56/1,512.69
  6. Step 6: Final answer
    x = 970.83

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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.