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Finding the Fourth Proportional to 1,200.89, 1,657.41 and 703.46

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Solution

The fourth proportional to 1,200.89, 1,657.41 and 703.46 is: 970.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.89 : 1,657.41 = 703.46 : x
  2. Step 2: Convert to fraction form
    1,200.89/1,657.41 = 703.46/x
  3. Step 3: Cross multiply
    1,200.89x = 1,657.41 × 703.46
  4. Step 4: Simplify right side
    1,200.89x = 1,165,923.14
  5. Step 5: Solve for x
    x = 1,165,923.14/1,200.89
  6. Step 6: Final answer
    x = 970.88

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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.