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Finding the Fourth Proportional to 1,457.98, 2,012.78 and 961.44

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Solution

The fourth proportional to 1,457.98, 2,012.78 and 961.44 is: 1,327.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.98 : 2,012.78 = 961.44 : x
  2. Step 2: Convert to fraction form
    1,457.98/2,012.78 = 961.44/x
  3. Step 3: Cross multiply
    1,457.98x = 2,012.78 × 961.44
  4. Step 4: Simplify right side
    1,457.98x = 1,935,167.20
  5. Step 5: Solve for x
    x = 1,935,167.20/1,457.98
  6. Step 6: Final answer
    x = 1,327.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.