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Finding the Fourth Proportional to 1,106.78, 1,527.84 and 664.61

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Solution

The fourth proportional to 1,106.78, 1,527.84 and 664.61 is: 917.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.78 : 1,527.84 = 664.61 : x
  2. Step 2: Convert to fraction form
    1,106.78/1,527.84 = 664.61/x
  3. Step 3: Cross multiply
    1,106.78x = 1,527.84 × 664.61
  4. Step 4: Simplify right side
    1,106.78x = 1,015,417.74
  5. Step 5: Solve for x
    x = 1,015,417.74/1,106.78
  6. Step 6: Final answer
    x = 917.45

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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.