Home / 1,209.55-1,670.27-914.31

Finding the Fourth Proportional to 1,209.55, 1,670.27 and 914.31

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Solution

The fourth proportional to 1,209.55, 1,670.27 and 914.31 is: 1,262.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.55 : 1,670.27 = 914.31 : x
  2. Step 2: Convert to fraction form
    1,209.55/1,670.27 = 914.31/x
  3. Step 3: Cross multiply
    1,209.55x = 1,670.27 × 914.31
  4. Step 4: Simplify right side
    1,209.55x = 1,527,144.56
  5. Step 5: Solve for x
    x = 1,527,144.56/1,209.55
  6. Step 6: Final answer
    x = 1,262.57

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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.