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Finding the Fourth Proportional to 997.76, 1,378.20 and 859.28

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Solution

The fourth proportional to 997.76, 1,378.20 and 859.28 is: 1,186.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.76 : 1,378.20 = 859.28 : x
  2. Step 2: Convert to fraction form
    997.76/1,378.20 = 859.28/x
  3. Step 3: Cross multiply
    997.76x = 1,378.20 × 859.28
  4. Step 4: Simplify right side
    997.76x = 1,184,259.70
  5. Step 5: Solve for x
    x = 1,184,259.70/997.76
  6. Step 6: Final answer
    x = 1,186.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.