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Finding the Fourth Proportional to 717.84, 991.58 and 578.50

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Solution

The fourth proportional to 717.84, 991.58 and 578.50 is: 799.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.84 : 991.58 = 578.50 : x
  2. Step 2: Convert to fraction form
    717.84/991.58 = 578.50/x
  3. Step 3: Cross multiply
    717.84x = 991.58 × 578.50
  4. Step 4: Simplify right side
    717.84x = 573,629.03
  5. Step 5: Solve for x
    x = 573,629.03/717.84
  6. Step 6: Final answer
    x = 799.10

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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.