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Finding the Fourth Proportional to 1,094.19, 1,640.67 and 747.95

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Solution

The fourth proportional to 1,094.19, 1,640.67 and 747.95 is: 1,121.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.19 : 1,640.67 = 747.95 : x
  2. Step 2: Convert to fraction form
    1,094.19/1,640.67 = 747.95/x
  3. Step 3: Cross multiply
    1,094.19x = 1,640.67 × 747.95
  4. Step 4: Simplify right side
    1,094.19x = 1,227,139.13
  5. Step 5: Solve for x
    x = 1,227,139.13/1,094.19
  6. Step 6: Final answer
    x = 1,121.50

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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.