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Finding the Fourth Proportional to 694.43, 957.96 and 570.59

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Solution

The fourth proportional to 694.43, 957.96 and 570.59 is: 787.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.43 : 957.96 = 570.59 : x
  2. Step 2: Convert to fraction form
    694.43/957.96 = 570.59/x
  3. Step 3: Cross multiply
    694.43x = 957.96 × 570.59
  4. Step 4: Simplify right side
    694.43x = 546,597.61
  5. Step 5: Solve for x
    x = 546,597.61/694.43
  6. Step 6: Final answer
    x = 787.12

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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.