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Finding the Fourth Proportional to 717.17, 989.86 and 468.05

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Solution

The fourth proportional to 717.17, 989.86 and 468.05 is: 646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.17 : 989.86 = 468.05 : x
  2. Step 2: Convert to fraction form
    717.17/989.86 = 468.05/x
  3. Step 3: Cross multiply
    717.17x = 989.86 × 468.05
  4. Step 4: Simplify right side
    717.17x = 463,303.97
  5. Step 5: Solve for x
    x = 463,303.97/717.17
  6. Step 6: Final answer
    x = 646.02

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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.