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Finding the Fourth Proportional to 716.80, 989.20 and 437.05

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Solution

The fourth proportional to 716.80, 989.20 and 437.05 is: 603.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.80 : 989.20 = 437.05 : x
  2. Step 2: Convert to fraction form
    716.80/989.20 = 437.05/x
  3. Step 3: Cross multiply
    716.80x = 989.20 × 437.05
  4. Step 4: Simplify right side
    716.80x = 432,329.86
  5. Step 5: Solve for x
    x = 432,329.86/716.80
  6. Step 6: Final answer
    x = 603.14

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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.