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Finding the Fourth Proportional to 1,092.15, 1,507.30 and 650.05

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Solution

The fourth proportional to 1,092.15, 1,507.30 and 650.05 is: 897.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.15 : 1,507.30 = 650.05 : x
  2. Step 2: Convert to fraction form
    1,092.15/1,507.30 = 650.05/x
  3. Step 3: Cross multiply
    1,092.15x = 1,507.30 × 650.05
  4. Step 4: Simplify right side
    1,092.15x = 979,814.97
  5. Step 5: Solve for x
    x = 979,814.97/1,092.15
  6. Step 6: Final answer
    x = 897.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.