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Finding the Fourth Proportional to 1,377.17, 2,065.75 and 646.34

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Solution

The fourth proportional to 1,377.17, 2,065.75 and 646.34 is: 969.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.17 : 2,065.75 = 646.34 : x
  2. Step 2: Convert to fraction form
    1,377.17/2,065.75 = 646.34/x
  3. Step 3: Cross multiply
    1,377.17x = 2,065.75 × 646.34
  4. Step 4: Simplify right side
    1,377.17x = 1,335,176.86
  5. Step 5: Solve for x
    x = 1,335,176.86/1,377.17
  6. Step 6: Final answer
    x = 969.51

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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.