Home / 1,094.10-1,641.14-314.12

Finding the Fourth Proportional to 1,094.10, 1,641.14 and 314.12

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Solution

The fourth proportional to 1,094.10, 1,641.14 and 314.12 is: 471.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.10 : 1,641.14 = 314.12 : x
  2. Step 2: Convert to fraction form
    1,094.10/1,641.14 = 314.12/x
  3. Step 3: Cross multiply
    1,094.10x = 1,641.14 × 314.12
  4. Step 4: Simplify right side
    1,094.10x = 515,514.90
  5. Step 5: Solve for x
    x = 515,514.90/1,094.10
  6. Step 6: Final answer
    x = 471.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.