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Finding the Fourth Proportional to 926.87, 1,390.38 and 764.06

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Solution

The fourth proportional to 926.87, 1,390.38 and 764.06 is: 1,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.87 : 1,390.38 = 764.06 : x
  2. Step 2: Convert to fraction form
    926.87/1,390.38 = 764.06/x
  3. Step 3: Cross multiply
    926.87x = 1,390.38 × 764.06
  4. Step 4: Simplify right side
    926.87x = 1,062,329.92
  5. Step 5: Solve for x
    x = 1,062,329.92/926.87
  6. Step 6: Final answer
    x = 1,146.15

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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.