Home / 1,417.27-2,124.46-492.19

Finding the Fourth Proportional to 1,417.27, 2,124.46 and 492.19

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Solution

The fourth proportional to 1,417.27, 2,124.46 and 492.19 is: 737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.27 : 2,124.46 = 492.19 : x
  2. Step 2: Convert to fraction form
    1,417.27/2,124.46 = 492.19/x
  3. Step 3: Cross multiply
    1,417.27x = 2,124.46 × 492.19
  4. Step 4: Simplify right side
    1,417.27x = 1,045,637.97
  5. Step 5: Solve for x
    x = 1,045,637.97/1,417.27
  6. Step 6: Final answer
    x = 737.78

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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.