Home / 1,624.78-2,242.20-916.57

Finding the Fourth Proportional to 1,624.78, 2,242.20 and 916.57

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Solution

The fourth proportional to 1,624.78, 2,242.20 and 916.57 is: 1,264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.78 : 2,242.20 = 916.57 : x
  2. Step 2: Convert to fraction form
    1,624.78/2,242.20 = 916.57/x
  3. Step 3: Cross multiply
    1,624.78x = 2,242.20 × 916.57
  4. Step 4: Simplify right side
    1,624.78x = 2,055,133.25
  5. Step 5: Solve for x
    x = 2,055,133.25/1,624.78
  6. Step 6: Final answer
    x = 1,264.87

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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.