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Finding the Fourth Proportional to 716.33, 988.50 and 405.83

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Solution

The fourth proportional to 716.33, 988.50 and 405.83 is: 560.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.33 : 988.50 = 405.83 : x
  2. Step 2: Convert to fraction form
    716.33/988.50 = 405.83/x
  3. Step 3: Cross multiply
    716.33x = 988.50 × 405.83
  4. Step 4: Simplify right side
    716.33x = 401,161.50
  5. Step 5: Solve for x
    x = 401,161.50/716.33
  6. Step 6: Final answer
    x = 560.03

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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.