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Finding the Fourth Proportional to 1,119.58, 1,544.14 and 1,045.06

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Solution

The fourth proportional to 1,119.58, 1,544.14 and 1,045.06 is: 1,441.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.58 : 1,544.14 = 1,045.06 : x
  2. Step 2: Convert to fraction form
    1,119.58/1,544.14 = 1,045.06/x
  3. Step 3: Cross multiply
    1,119.58x = 1,544.14 × 1,045.06
  4. Step 4: Simplify right side
    1,119.58x = 1,613,718.95
  5. Step 5: Solve for x
    x = 1,613,718.95/1,119.58
  6. Step 6: Final answer
    x = 1,441.36

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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.