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Finding the Fourth Proportional to 697.66, 1,045.30 and 422.90

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Solution

The fourth proportional to 697.66, 1,045.30 and 422.90 is: 633.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.66 : 1,045.30 = 422.90 : x
  2. Step 2: Convert to fraction form
    697.66/1,045.30 = 422.90/x
  3. Step 3: Cross multiply
    697.66x = 1,045.30 × 422.90
  4. Step 4: Simplify right side
    697.66x = 442,057.37
  5. Step 5: Solve for x
    x = 442,057.37/697.66
  6. Step 6: Final answer
    x = 633.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.