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Finding the Fourth Proportional to 1,049.93, 1,448.65 and 677.03

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Solution

The fourth proportional to 1,049.93, 1,448.65 and 677.03 is: 934.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.93 : 1,448.65 = 677.03 : x
  2. Step 2: Convert to fraction form
    1,049.93/1,448.65 = 677.03/x
  3. Step 3: Cross multiply
    1,049.93x = 1,448.65 × 677.03
  4. Step 4: Simplify right side
    1,049.93x = 980,779.51
  5. Step 5: Solve for x
    x = 980,779.51/1,049.93
  6. Step 6: Final answer
    x = 934.14

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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.