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Finding the Fourth Proportional to 694.71, 1,045.55 and 522.27

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Solution

The fourth proportional to 694.71, 1,045.55 and 522.27 is: 786.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.71 : 1,045.55 = 522.27 : x
  2. Step 2: Convert to fraction form
    694.71/1,045.55 = 522.27/x
  3. Step 3: Cross multiply
    694.71x = 1,045.55 × 522.27
  4. Step 4: Simplify right side
    694.71x = 546,060.70
  5. Step 5: Solve for x
    x = 546,060.70/694.71
  6. Step 6: Final answer
    x = 786.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.