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Finding the Fourth Proportional to 1,094.59, 1,643.31 and 650.67

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Solution

The fourth proportional to 1,094.59, 1,643.31 and 650.67 is: 976.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.59 : 1,643.31 = 650.67 : x
  2. Step 2: Convert to fraction form
    1,094.59/1,643.31 = 650.67/x
  3. Step 3: Cross multiply
    1,094.59x = 1,643.31 × 650.67
  4. Step 4: Simplify right side
    1,094.59x = 1,069,244.30
  5. Step 5: Solve for x
    x = 1,069,244.30/1,094.59
  6. Step 6: Final answer
    x = 976.85

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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.