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Finding the Fourth Proportional to 1,204.20, 1,661.85 and 706.86

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Solution

The fourth proportional to 1,204.20, 1,661.85 and 706.86 is: 975.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.20 : 1,661.85 = 706.86 : x
  2. Step 2: Convert to fraction form
    1,204.20/1,661.85 = 706.86/x
  3. Step 3: Cross multiply
    1,204.20x = 1,661.85 × 706.86
  4. Step 4: Simplify right side
    1,204.20x = 1,174,695.29
  5. Step 5: Solve for x
    x = 1,174,695.29/1,204.20
  6. Step 6: Final answer
    x = 975.50

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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.