Home / 1,417.40-2,122.26-731.96

Finding the Fourth Proportional to 1,417.40, 2,122.26 and 731.96

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Solution

The fourth proportional to 1,417.40, 2,122.26 and 731.96 is: 1,095.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.40 : 2,122.26 = 731.96 : x
  2. Step 2: Convert to fraction form
    1,417.40/2,122.26 = 731.96/x
  3. Step 3: Cross multiply
    1,417.40x = 2,122.26 × 731.96
  4. Step 4: Simplify right side
    1,417.40x = 1,553,409.43
  5. Step 5: Solve for x
    x = 1,553,409.43/1,417.40
  6. Step 6: Final answer
    x = 1,095.96

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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.