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Finding the Fourth Proportional to 716.58, 989.15 and 422.01

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Solution

The fourth proportional to 716.58, 989.15 and 422.01 is: 582.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.58 : 989.15 = 422.01 : x
  2. Step 2: Convert to fraction form
    716.58/989.15 = 422.01/x
  3. Step 3: Cross multiply
    716.58x = 989.15 × 422.01
  4. Step 4: Simplify right side
    716.58x = 417,429.08
  5. Step 5: Solve for x
    x = 417,429.08/716.58
  6. Step 6: Final answer
    x = 582.53

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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.