Home / 1,084.19-1,492.22-919.76

Finding the Fourth Proportional to 1,084.19, 1,492.22 and 919.76

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Solution

The fourth proportional to 1,084.19, 1,492.22 and 919.76 is: 1,265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.19 : 1,492.22 = 919.76 : x
  2. Step 2: Convert to fraction form
    1,084.19/1,492.22 = 919.76/x
  3. Step 3: Cross multiply
    1,084.19x = 1,492.22 × 919.76
  4. Step 4: Simplify right side
    1,084.19x = 1,372,479.11
  5. Step 5: Solve for x
    x = 1,372,479.11/1,084.19
  6. Step 6: Final answer
    x = 1,265.91

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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.