Home / 1,180.04-1,770.24-314.42

Finding the Fourth Proportional to 1,180.04, 1,770.24 and 314.42

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Solution

The fourth proportional to 1,180.04, 1,770.24 and 314.42 is: 471.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.04 : 1,770.24 = 314.42 : x
  2. Step 2: Convert to fraction form
    1,180.04/1,770.24 = 314.42/x
  3. Step 3: Cross multiply
    1,180.04x = 1,770.24 × 314.42
  4. Step 4: Simplify right side
    1,180.04x = 556,598.86
  5. Step 5: Solve for x
    x = 556,598.86/1,180.04
  6. Step 6: Final answer
    x = 471.68

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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.