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Finding the Fourth Proportional to 694.09, 957.90 and 432.15

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Solution

The fourth proportional to 694.09, 957.90 and 432.15 is: 596.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.09 : 957.90 = 432.15 : x
  2. Step 2: Convert to fraction form
    694.09/957.90 = 432.15/x
  3. Step 3: Cross multiply
    694.09x = 957.90 × 432.15
  4. Step 4: Simplify right side
    694.09x = 413,956.49
  5. Step 5: Solve for x
    x = 413,956.49/694.09
  6. Step 6: Final answer
    x = 596.40

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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.