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Finding the Fourth Proportional to 1,426.64, 2,140.48 and 646.82

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Solution

The fourth proportional to 1,426.64, 2,140.48 and 646.82 is: 970.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.64 : 2,140.48 = 646.82 : x
  2. Step 2: Convert to fraction form
    1,426.64/2,140.48 = 646.82/x
  3. Step 3: Cross multiply
    1,426.64x = 2,140.48 × 646.82
  4. Step 4: Simplify right side
    1,426.64x = 1,384,505.27
  5. Step 5: Solve for x
    x = 1,384,505.27/1,426.64
  6. Step 6: Final answer
    x = 970.47

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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.