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Finding the Fourth Proportional to 765.78, 1,148.67 and 188.66

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Solution

The fourth proportional to 765.78, 1,148.67 and 188.66 is: 282.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.78 : 1,148.67 = 188.66 : x
  2. Step 2: Convert to fraction form
    765.78/1,148.67 = 188.66/x
  3. Step 3: Cross multiply
    765.78x = 1,148.67 × 188.66
  4. Step 4: Simplify right side
    765.78x = 216,708.08
  5. Step 5: Solve for x
    x = 216,708.08/765.78
  6. Step 6: Final answer
    x = 282.99

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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.