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Finding the Fourth Proportional to 716.95, 989.32 and 406.45

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Solution

The fourth proportional to 716.95, 989.32 and 406.45 is: 560.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.95 : 989.32 = 406.45 : x
  2. Step 2: Convert to fraction form
    716.95/989.32 = 406.45/x
  3. Step 3: Cross multiply
    716.95x = 989.32 × 406.45
  4. Step 4: Simplify right side
    716.95x = 402,109.11
  5. Step 5: Solve for x
    x = 402,109.11/716.95
  6. Step 6: Final answer
    x = 560.86

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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.