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Finding the Fourth Proportional to 859.47, 1,292.06 and 698.28

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Solution

The fourth proportional to 859.47, 1,292.06 and 698.28 is: 1,049.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.47 : 1,292.06 = 698.28 : x
  2. Step 2: Convert to fraction form
    859.47/1,292.06 = 698.28/x
  3. Step 3: Cross multiply
    859.47x = 1,292.06 × 698.28
  4. Step 4: Simplify right side
    859.47x = 902,219.66
  5. Step 5: Solve for x
    x = 902,219.66/859.47
  6. Step 6: Final answer
    x = 1,049.74

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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.