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Finding the Fourth Proportional to 781.84, 1,172.95 and 370.77

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Solution

The fourth proportional to 781.84, 1,172.95 and 370.77 is: 556.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.84 : 1,172.95 = 370.77 : x
  2. Step 2: Convert to fraction form
    781.84/1,172.95 = 370.77/x
  3. Step 3: Cross multiply
    781.84x = 1,172.95 × 370.77
  4. Step 4: Simplify right side
    781.84x = 434,889.35
  5. Step 5: Solve for x
    x = 434,889.35/781.84
  6. Step 6: Final answer
    x = 556.24

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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.