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Finding the Fourth Proportional to 696.36, 1,039.43 and 614.34

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Solution

The fourth proportional to 696.36, 1,039.43 and 614.34 is: 917.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.36 : 1,039.43 = 614.34 : x
  2. Step 2: Convert to fraction form
    696.36/1,039.43 = 614.34/x
  3. Step 3: Cross multiply
    696.36x = 1,039.43 × 614.34
  4. Step 4: Simplify right side
    696.36x = 638,563.43
  5. Step 5: Solve for x
    x = 638,563.43/696.36
  6. Step 6: Final answer
    x = 917.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.