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Finding the Fourth Proportional to 1,106.15, 1,658.68 and 644.09

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Solution

The fourth proportional to 1,106.15, 1,658.68 and 644.09 is: 965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.15 : 1,658.68 = 644.09 : x
  2. Step 2: Convert to fraction form
    1,106.15/1,658.68 = 644.09/x
  3. Step 3: Cross multiply
    1,106.15x = 1,658.68 × 644.09
  4. Step 4: Simplify right side
    1,106.15x = 1,068,339.20
  5. Step 5: Solve for x
    x = 1,068,339.20/1,106.15
  6. Step 6: Final answer
    x = 965.82

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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.