Home / 1,308.25-1,962.34-614.53

Finding the Fourth Proportional to 1,308.25, 1,962.34 and 614.53

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Solution

The fourth proportional to 1,308.25, 1,962.34 and 614.53 is: 921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.25 : 1,962.34 = 614.53 : x
  2. Step 2: Convert to fraction form
    1,308.25/1,962.34 = 614.53/x
  3. Step 3: Cross multiply
    1,308.25x = 1,962.34 × 614.53
  4. Step 4: Simplify right side
    1,308.25x = 1,205,916.80
  5. Step 5: Solve for x
    x = 1,205,916.80/1,308.25
  6. Step 6: Final answer
    x = 921.78

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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.