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Finding the Fourth Proportional to 2,242.23, 3,363.63 and 780.90

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Solution

The fourth proportional to 2,242.23, 3,363.63 and 780.90 is: 1,171.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.23 : 3,363.63 = 780.90 : x
  2. Step 2: Convert to fraction form
    2,242.23/3,363.63 = 780.90/x
  3. Step 3: Cross multiply
    2,242.23x = 3,363.63 × 780.90
  4. Step 4: Simplify right side
    2,242.23x = 2,626,658.67
  5. Step 5: Solve for x
    x = 2,626,658.67/2,242.23
  6. Step 6: Final answer
    x = 1,171.45

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1.5x scale

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.