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Finding the Fourth Proportional to 1,118.85, 1,544 and 646.74

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Solution

The fourth proportional to 1,118.85, 1,544 and 646.74 is: 892.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.85 : 1,544 = 646.74 : x
  2. Step 2: Convert to fraction form
    1,118.85/1,544 = 646.74/x
  3. Step 3: Cross multiply
    1,118.85x = 1,544 × 646.74
  4. Step 4: Simplify right side
    1,118.85x = 998,558.84
  5. Step 5: Solve for x
    x = 998,558.84/1,118.85
  6. Step 6: Final answer
    x = 892.49

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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.