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Finding the Fourth Proportional to 1,377.54, 2,066.61 and 646.71

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Solution

The fourth proportional to 1,377.54, 2,066.61 and 646.71 is: 970.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.54 : 2,066.61 = 646.71 : x
  2. Step 2: Convert to fraction form
    1,377.54/2,066.61 = 646.71/x
  3. Step 3: Cross multiply
    1,377.54x = 2,066.61 × 646.71
  4. Step 4: Simplify right side
    1,377.54x = 1,336,494.12
  5. Step 5: Solve for x
    x = 1,336,494.12/1,377.54
  6. Step 6: Final answer
    x = 970.21

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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.