Home / 1,309.32-1,962.30-614.45

Finding the Fourth Proportional to 1,309.32, 1,962.30 and 614.45

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Solution

The fourth proportional to 1,309.32, 1,962.30 and 614.45 is: 920.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.32 : 1,962.30 = 614.45 : x
  2. Step 2: Convert to fraction form
    1,309.32/1,962.30 = 614.45/x
  3. Step 3: Cross multiply
    1,309.32x = 1,962.30 × 614.45
  4. Step 4: Simplify right side
    1,309.32x = 1,205,742.44
  5. Step 5: Solve for x
    x = 1,205,742.44/1,309.32
  6. Step 6: Final answer
    x = 920.89

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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.