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Finding the Fourth Proportional to 1,377.68, 2,065.55 and 646.85

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Solution

The fourth proportional to 1,377.68, 2,065.55 and 646.85 is: 969.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.68 : 2,065.55 = 646.85 : x
  2. Step 2: Convert to fraction form
    1,377.68/2,065.55 = 646.85/x
  3. Step 3: Cross multiply
    1,377.68x = 2,065.55 × 646.85
  4. Step 4: Simplify right side
    1,377.68x = 1,336,102.95
  5. Step 5: Solve for x
    x = 1,336,102.95/1,377.68
  6. Step 6: Final answer
    x = 969.82

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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.