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Finding the Fourth Proportional to 806.94, 1,207.47 and 689.89

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Solution

The fourth proportional to 806.94, 1,207.47 and 689.89 is: 1,032.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.94 : 1,207.47 = 689.89 : x
  2. Step 2: Convert to fraction form
    806.94/1,207.47 = 689.89/x
  3. Step 3: Cross multiply
    806.94x = 1,207.47 × 689.89
  4. Step 4: Simplify right side
    806.94x = 833,021.48
  5. Step 5: Solve for x
    x = 833,021.48/806.94
  6. Step 6: Final answer
    x = 1,032.32

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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.