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Finding the Fourth Proportional to 900.34, 1,342.73 and 812.86

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Solution

The fourth proportional to 900.34, 1,342.73 and 812.86 is: 1,212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.34 : 1,342.73 = 812.86 : x
  2. Step 2: Convert to fraction form
    900.34/1,342.73 = 812.86/x
  3. Step 3: Cross multiply
    900.34x = 1,342.73 × 812.86
  4. Step 4: Simplify right side
    900.34x = 1,091,450.18
  5. Step 5: Solve for x
    x = 1,091,450.18/900.34
  6. Step 6: Final answer
    x = 1,212.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.