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Finding the Fourth Proportional to 694.12, 957.77 and 414.47

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Solution

The fourth proportional to 694.12, 957.77 and 414.47 is: 571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.12 : 957.77 = 414.47 : x
  2. Step 2: Convert to fraction form
    694.12/957.77 = 414.47/x
  3. Step 3: Cross multiply
    694.12x = 957.77 × 414.47
  4. Step 4: Simplify right side
    694.12x = 396,960.07
  5. Step 5: Solve for x
    x = 396,960.07/694.12
  6. Step 6: Final answer
    x = 571.89

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1.5x scale

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.