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Finding the Fourth Proportional to 694.18, 957.54 and 414.24

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Solution

The fourth proportional to 694.18, 957.54 and 414.24 is: 571.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.18 : 957.54 = 414.24 : x
  2. Step 2: Convert to fraction form
    694.18/957.54 = 414.24/x
  3. Step 3: Cross multiply
    694.18x = 957.54 × 414.24
  4. Step 4: Simplify right side
    694.18x = 396,651.37
  5. Step 5: Solve for x
    x = 396,651.37/694.18
  6. Step 6: Final answer
    x = 571.40

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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.