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Finding the Fourth Proportional to 1,444.08, 1,990.80 and 1,133.04

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Solution

The fourth proportional to 1,444.08, 1,990.80 and 1,133.04 is: 1,562.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.08 : 1,990.80 = 1,133.04 : x
  2. Step 2: Convert to fraction form
    1,444.08/1,990.80 = 1,133.04/x
  3. Step 3: Cross multiply
    1,444.08x = 1,990.80 × 1,133.04
  4. Step 4: Simplify right side
    1,444.08x = 2,255,656.03
  5. Step 5: Solve for x
    x = 2,255,656.03/1,444.08
  6. Step 6: Final answer
    x = 1,562.00

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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.