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Finding the Fourth Proportional to 1,206.61, 1,810.59 and 659.39

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Solution

The fourth proportional to 1,206.61, 1,810.59 and 659.39 is: 989.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.61 : 1,810.59 = 659.39 : x
  2. Step 2: Convert to fraction form
    1,206.61/1,810.59 = 659.39/x
  3. Step 3: Cross multiply
    1,206.61x = 1,810.59 × 659.39
  4. Step 4: Simplify right side
    1,206.61x = 1,193,873.41
  5. Step 5: Solve for x
    x = 1,193,873.41/1,206.61
  6. Step 6: Final answer
    x = 989.45

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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.