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Finding the Fourth Proportional to 859.07, 1,288.65 and 653.96

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Solution

The fourth proportional to 859.07, 1,288.65 and 653.96 is: 980.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.07 : 1,288.65 = 653.96 : x
  2. Step 2: Convert to fraction form
    859.07/1,288.65 = 653.96/x
  3. Step 3: Cross multiply
    859.07x = 1,288.65 × 653.96
  4. Step 4: Simplify right side
    859.07x = 842,725.55
  5. Step 5: Solve for x
    x = 842,725.55/859.07
  6. Step 6: Final answer
    x = 980.97

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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.