Home / 1,119.10-1,544.08-647.14

Finding the Fourth Proportional to 1,119.10, 1,544.08 and 647.14

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Solution

The fourth proportional to 1,119.10, 1,544.08 and 647.14 is: 892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.10 : 1,544.08 = 647.14 : x
  2. Step 2: Convert to fraction form
    1,119.10/1,544.08 = 647.14/x
  3. Step 3: Cross multiply
    1,119.10x = 1,544.08 × 647.14
  4. Step 4: Simplify right side
    1,119.10x = 999,235.93
  5. Step 5: Solve for x
    x = 999,235.93/1,119.10
  6. Step 6: Final answer
    x = 892.89

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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.