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Finding the Fourth Proportional to 1,686.67, 2,529.38 and 646.63

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Solution

The fourth proportional to 1,686.67, 2,529.38 and 646.63 is: 969.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.67 : 2,529.38 = 646.63 : x
  2. Step 2: Convert to fraction form
    1,686.67/2,529.38 = 646.63/x
  3. Step 3: Cross multiply
    1,686.67x = 2,529.38 × 646.63
  4. Step 4: Simplify right side
    1,686.67x = 1,635,568.28
  5. Step 5: Solve for x
    x = 1,635,568.28/1,686.67
  6. Step 6: Final answer
    x = 969.70

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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.