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Finding the Fourth Proportional to 806.70, 1,207.53 and 753.42

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Solution

The fourth proportional to 806.70, 1,207.53 and 753.42 is: 1,127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.70 : 1,207.53 = 753.42 : x
  2. Step 2: Convert to fraction form
    806.70/1,207.53 = 753.42/x
  3. Step 3: Cross multiply
    806.70x = 1,207.53 × 753.42
  4. Step 4: Simplify right side
    806.70x = 909,777.25
  5. Step 5: Solve for x
    x = 909,777.25/806.70
  6. Step 6: Final answer
    x = 1,127.78

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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.