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Finding the Fourth Proportional to 988.52, 1,363.40 and 656.84

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Solution

The fourth proportional to 988.52, 1,363.40 and 656.84 is: 905.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.52 : 1,363.40 = 656.84 : x
  2. Step 2: Convert to fraction form
    988.52/1,363.40 = 656.84/x
  3. Step 3: Cross multiply
    988.52x = 1,363.40 × 656.84
  4. Step 4: Simplify right side
    988.52x = 895,535.66
  5. Step 5: Solve for x
    x = 895,535.66/988.52
  6. Step 6: Final answer
    x = 905.94

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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.