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Finding the Fourth Proportional to 988.04, 1,363.56 and 976.70

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Solution

The fourth proportional to 988.04, 1,363.56 and 976.70 is: 1,347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.04 : 1,363.56 = 976.70 : x
  2. Step 2: Convert to fraction form
    988.04/1,363.56 = 976.70/x
  3. Step 3: Cross multiply
    988.04x = 1,363.56 × 976.70
  4. Step 4: Simplify right side
    988.04x = 1,331,789.05
  5. Step 5: Solve for x
    x = 1,331,789.05/988.04
  6. Step 6: Final answer
    x = 1,347.91

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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.