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Finding the Fourth Proportional to 1,594.22, 2,391.74 and 862.79

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Solution

The fourth proportional to 1,594.22, 2,391.74 and 862.79 is: 1,294.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.22 : 2,391.74 = 862.79 : x
  2. Step 2: Convert to fraction form
    1,594.22/2,391.74 = 862.79/x
  3. Step 3: Cross multiply
    1,594.22x = 2,391.74 × 862.79
  4. Step 4: Simplify right side
    1,594.22x = 2,063,569.35
  5. Step 5: Solve for x
    x = 2,063,569.35/1,594.22
  6. Step 6: Final answer
    x = 1,294.41

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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.