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Finding the Fourth Proportional to 988.33, 1,480.34 and 474.25

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Solution

The fourth proportional to 988.33, 1,480.34 and 474.25 is: 710.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.33 : 1,480.34 = 474.25 : x
  2. Step 2: Convert to fraction form
    988.33/1,480.34 = 474.25/x
  3. Step 3: Cross multiply
    988.33x = 1,480.34 × 474.25
  4. Step 4: Simplify right side
    988.33x = 702,048.87
  5. Step 5: Solve for x
    x = 702,048.87/988.33
  6. Step 6: Final answer
    x = 710.34

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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.