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Finding the Fourth Proportional to 988.68, 1,363.52 and 710.75

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Solution

The fourth proportional to 988.68, 1,363.52 and 710.75 is: 980.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.68 : 1,363.52 = 710.75 : x
  2. Step 2: Convert to fraction form
    988.68/1,363.52 = 710.75/x
  3. Step 3: Cross multiply
    988.68x = 1,363.52 × 710.75
  4. Step 4: Simplify right side
    988.68x = 969,124.36
  5. Step 5: Solve for x
    x = 969,124.36/988.68
  6. Step 6: Final answer
    x = 980.22

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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.