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Finding the Fourth Proportional to 1,118.64, 1,676.40 and 656.72

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Solution

The fourth proportional to 1,118.64, 1,676.40 and 656.72 is: 984.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.64 : 1,676.40 = 656.72 : x
  2. Step 2: Convert to fraction form
    1,118.64/1,676.40 = 656.72/x
  3. Step 3: Cross multiply
    1,118.64x = 1,676.40 × 656.72
  4. Step 4: Simplify right side
    1,118.64x = 1,100,925.41
  5. Step 5: Solve for x
    x = 1,100,925.41/1,118.64
  6. Step 6: Final answer
    x = 984.16

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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.