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Finding the Fourth Proportional to 781.65, 1,172.21 and 370.98

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Solution

The fourth proportional to 781.65, 1,172.21 and 370.98 is: 556.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.65 : 1,172.21 = 370.98 : x
  2. Step 2: Convert to fraction form
    781.65/1,172.21 = 370.98/x
  3. Step 3: Cross multiply
    781.65x = 1,172.21 × 370.98
  4. Step 4: Simplify right side
    781.65x = 434,864.61
  5. Step 5: Solve for x
    x = 434,864.61/781.65
  6. Step 6: Final answer
    x = 556.34

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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.