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Finding the Fourth Proportional to 1,444.77, 1,992.18 and 1,114.02

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Solution

The fourth proportional to 1,444.77, 1,992.18 and 1,114.02 is: 1,536.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.77 : 1,992.18 = 1,114.02 : x
  2. Step 2: Convert to fraction form
    1,444.77/1,992.18 = 1,114.02/x
  3. Step 3: Cross multiply
    1,444.77x = 1,992.18 × 1,114.02
  4. Step 4: Simplify right side
    1,444.77x = 2,219,328.36
  5. Step 5: Solve for x
    x = 2,219,328.36/1,444.77
  6. Step 6: Final answer
    x = 1,536.11

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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.