Home / 1,225.24-1,836.42-647.80

Finding the Fourth Proportional to 1,225.24, 1,836.42 and 647.80

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Solution

The fourth proportional to 1,225.24, 1,836.42 and 647.80 is: 970.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.24 : 1,836.42 = 647.80 : x
  2. Step 2: Convert to fraction form
    1,225.24/1,836.42 = 647.80/x
  3. Step 3: Cross multiply
    1,225.24x = 1,836.42 × 647.80
  4. Step 4: Simplify right side
    1,225.24x = 1,189,632.88
  5. Step 5: Solve for x
    x = 1,189,632.88/1,225.24
  6. Step 6: Final answer
    x = 970.94

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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.