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Finding the Fourth Proportional to 1,106.02, 1,660.02 and 456.86

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Solution

The fourth proportional to 1,106.02, 1,660.02 and 456.86 is: 685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.02 : 1,660.02 = 456.86 : x
  2. Step 2: Convert to fraction form
    1,106.02/1,660.02 = 456.86/x
  3. Step 3: Cross multiply
    1,106.02x = 1,660.02 × 456.86
  4. Step 4: Simplify right side
    1,106.02x = 758,396.74
  5. Step 5: Solve for x
    x = 758,396.74/1,106.02
  6. Step 6: Final answer
    x = 685.70

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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.