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Finding the Fourth Proportional to 717.56, 989.81 and 468.99

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Solution

The fourth proportional to 717.56, 989.81 and 468.99 is: 646.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.56 : 989.81 = 468.99 : x
  2. Step 2: Convert to fraction form
    717.56/989.81 = 468.99/x
  3. Step 3: Cross multiply
    717.56x = 989.81 × 468.99
  4. Step 4: Simplify right side
    717.56x = 464,214.12
  5. Step 5: Solve for x
    x = 464,214.12/717.56
  6. Step 6: Final answer
    x = 646.93

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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.