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Finding the Fourth Proportional to 1,203.35, 1,660.50 and 699.06

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Solution

The fourth proportional to 1,203.35, 1,660.50 and 699.06 is: 964.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.35 : 1,660.50 = 699.06 : x
  2. Step 2: Convert to fraction form
    1,203.35/1,660.50 = 699.06/x
  3. Step 3: Cross multiply
    1,203.35x = 1,660.50 × 699.06
  4. Step 4: Simplify right side
    1,203.35x = 1,160,789.13
  5. Step 5: Solve for x
    x = 1,160,789.13/1,203.35
  6. Step 6: Final answer
    x = 964.64

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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.