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Finding the Fourth Proportional to 900.70, 1,244.64 and 812.14

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Solution

The fourth proportional to 900.70, 1,244.64 and 812.14 is: 1,122.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.70 : 1,244.64 = 812.14 : x
  2. Step 2: Convert to fraction form
    900.70/1,244.64 = 812.14/x
  3. Step 3: Cross multiply
    900.70x = 1,244.64 × 812.14
  4. Step 4: Simplify right side
    900.70x = 1,010,821.93
  5. Step 5: Solve for x
    x = 1,010,821.93/900.70
  6. Step 6: Final answer
    x = 1,122.26

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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.