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Finding the Fourth Proportional to 1,203.07, 1,660.22 and 651.07

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Solution

The fourth proportional to 1,203.07, 1,660.22 and 651.07 is: 898.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.07 : 1,660.22 = 651.07 : x
  2. Step 2: Convert to fraction form
    1,203.07/1,660.22 = 651.07/x
  3. Step 3: Cross multiply
    1,203.07x = 1,660.22 × 651.07
  4. Step 4: Simplify right side
    1,203.07x = 1,080,919.44
  5. Step 5: Solve for x
    x = 1,080,919.44/1,203.07
  6. Step 6: Final answer
    x = 898.47

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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.