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Finding the Fourth Proportional to 786.49, 1,178.97 and 375.52

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Solution

The fourth proportional to 786.49, 1,178.97 and 375.52 is: 562.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.49 : 1,178.97 = 375.52 : x
  2. Step 2: Convert to fraction form
    786.49/1,178.97 = 375.52/x
  3. Step 3: Cross multiply
    786.49x = 1,178.97 × 375.52
  4. Step 4: Simplify right side
    786.49x = 442,726.81
  5. Step 5: Solve for x
    x = 442,726.81/786.49
  6. Step 6: Final answer
    x = 562.91

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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.