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Finding the Fourth Proportional to 716.99, 1,076.43 and 614.93

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Solution

The fourth proportional to 716.99, 1,076.43 and 614.93 is: 923.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.99 : 1,076.43 = 614.93 : x
  2. Step 2: Convert to fraction form
    716.99/1,076.43 = 614.93/x
  3. Step 3: Cross multiply
    716.99x = 1,076.43 × 614.93
  4. Step 4: Simplify right side
    716.99x = 661,929.10
  5. Step 5: Solve for x
    x = 661,929.10/716.99
  6. Step 6: Final answer
    x = 923.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.