Home / 1,416.08-2,123.85-492.23

Finding the Fourth Proportional to 1,416.08, 2,123.85 and 492.23

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Solution

The fourth proportional to 1,416.08, 2,123.85 and 492.23 is: 738.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.08 : 2,123.85 = 492.23 : x
  2. Step 2: Convert to fraction form
    1,416.08/2,123.85 = 492.23/x
  3. Step 3: Cross multiply
    1,416.08x = 2,123.85 × 492.23
  4. Step 4: Simplify right side
    1,416.08x = 1,045,422.69
  5. Step 5: Solve for x
    x = 1,045,422.69/1,416.08
  6. Step 6: Final answer
    x = 738.25

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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.