Home / 1,723.23-2,584.82-424.70

Finding the Fourth Proportional to 1,723.23, 2,584.82 and 424.70

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Solution

The fourth proportional to 1,723.23, 2,584.82 and 424.70 is: 637.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.23 : 2,584.82 = 424.70 : x
  2. Step 2: Convert to fraction form
    1,723.23/2,584.82 = 424.70/x
  3. Step 3: Cross multiply
    1,723.23x = 2,584.82 × 424.70
  4. Step 4: Simplify right side
    1,723.23x = 1,097,758.01
  5. Step 5: Solve for x
    x = 1,097,758.01/1,723.23
  6. Step 6: Final answer
    x = 637.04

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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.