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Finding the Fourth Proportional to 717.33, 990.06 and 468.20

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Solution

The fourth proportional to 717.33, 990.06 and 468.20 is: 646.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.33 : 990.06 = 468.20 : x
  2. Step 2: Convert to fraction form
    717.33/990.06 = 468.20/x
  3. Step 3: Cross multiply
    717.33x = 990.06 × 468.20
  4. Step 4: Simplify right side
    717.33x = 463,546.09
  5. Step 5: Solve for x
    x = 463,546.09/717.33
  6. Step 6: Final answer
    x = 646.21

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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.