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Finding the Fourth Proportional to 694.58, 957.30 and 614.12

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Solution

The fourth proportional to 694.58, 957.30 and 614.12 is: 846.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.58 : 957.30 = 614.12 : x
  2. Step 2: Convert to fraction form
    694.58/957.30 = 614.12/x
  3. Step 3: Cross multiply
    694.58x = 957.30 × 614.12
  4. Step 4: Simplify right side
    694.58x = 587,897.08
  5. Step 5: Solve for x
    x = 587,897.08/694.58
  6. Step 6: Final answer
    x = 846.41

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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.