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Finding the Fourth Proportional to 716.74, 989.34 and 468.22

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Solution

The fourth proportional to 716.74, 989.34 and 468.22 is: 646.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.74 : 989.34 = 468.22 : x
  2. Step 2: Convert to fraction form
    716.74/989.34 = 468.22/x
  3. Step 3: Cross multiply
    716.74x = 989.34 × 468.22
  4. Step 4: Simplify right side
    716.74x = 463,228.77
  5. Step 5: Solve for x
    x = 463,228.77/716.74
  6. Step 6: Final answer
    x = 646.30

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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.