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Finding the Fourth Proportional to 988.64, 1,481.76 and 712.82

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Solution

The fourth proportional to 988.64, 1,481.76 and 712.82 is: 1,068.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.64 : 1,481.76 = 712.82 : x
  2. Step 2: Convert to fraction form
    988.64/1,481.76 = 712.82/x
  3. Step 3: Cross multiply
    988.64x = 1,481.76 × 712.82
  4. Step 4: Simplify right side
    988.64x = 1,056,228.16
  5. Step 5: Solve for x
    x = 1,056,228.16/988.64
  6. Step 6: Final answer
    x = 1,068.36

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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.