Home / 1,424.18-2,136.49-546.64

Finding the Fourth Proportional to 1,424.18, 2,136.49 and 546.64

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Solution

The fourth proportional to 1,424.18, 2,136.49 and 546.64 is: 820.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.18 : 2,136.49 = 546.64 : x
  2. Step 2: Convert to fraction form
    1,424.18/2,136.49 = 546.64/x
  3. Step 3: Cross multiply
    1,424.18x = 2,136.49 × 546.64
  4. Step 4: Simplify right side
    1,424.18x = 1,167,890.89
  5. Step 5: Solve for x
    x = 1,167,890.89/1,424.18
  6. Step 6: Final answer
    x = 820.04

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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.