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Finding the Fourth Proportional to 1,448.08, 1,997.86 and 924.42

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Solution

The fourth proportional to 1,448.08, 1,997.86 and 924.42 is: 1,275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.08 : 1,997.86 = 924.42 : x
  2. Step 2: Convert to fraction form
    1,448.08/1,997.86 = 924.42/x
  3. Step 3: Cross multiply
    1,448.08x = 1,997.86 × 924.42
  4. Step 4: Simplify right side
    1,448.08x = 1,846,861.74
  5. Step 5: Solve for x
    x = 1,846,861.74/1,448.08
  6. Step 6: Final answer
    x = 1,275.39

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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.