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Finding the Fourth Proportional to 1,105.24, 1,656.70 and 812.30

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Solution

The fourth proportional to 1,105.24, 1,656.70 and 812.30 is: 1,217.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.24 : 1,656.70 = 812.30 : x
  2. Step 2: Convert to fraction form
    1,105.24/1,656.70 = 812.30/x
  3. Step 3: Cross multiply
    1,105.24x = 1,656.70 × 812.30
  4. Step 4: Simplify right side
    1,105.24x = 1,345,737.41
  5. Step 5: Solve for x
    x = 1,345,737.41/1,105.24
  6. Step 6: Final answer
    x = 1,217.60

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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.