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Finding the Fourth Proportional to 1,106.61, 1,659.84 and 672.86

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Solution

The fourth proportional to 1,106.61, 1,659.84 and 672.86 is: 1,009.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.61 : 1,659.84 = 672.86 : x
  2. Step 2: Convert to fraction form
    1,106.61/1,659.84 = 672.86/x
  3. Step 3: Cross multiply
    1,106.61x = 1,659.84 × 672.86
  4. Step 4: Simplify right side
    1,106.61x = 1,116,831.64
  5. Step 5: Solve for x
    x = 1,116,831.64/1,106.61
  6. Step 6: Final answer
    x = 1,009.24

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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.