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Finding the Fourth Proportional to 926.90, 1,387.88 and 765.30

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Solution

The fourth proportional to 926.90, 1,387.88 and 765.30 is: 1,145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.90 : 1,387.88 = 765.30 : x
  2. Step 2: Convert to fraction form
    926.90/1,387.88 = 765.30/x
  3. Step 3: Cross multiply
    926.90x = 1,387.88 × 765.30
  4. Step 4: Simplify right side
    926.90x = 1,062,144.56
  5. Step 5: Solve for x
    x = 1,062,144.56/926.90
  6. Step 6: Final answer
    x = 1,145.91

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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.