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Finding the Fourth Proportional to 629.40, 869.45 and 598.65

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Solution

The fourth proportional to 629.40, 869.45 and 598.65 is: 826.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.40 : 869.45 = 598.65 : x
  2. Step 2: Convert to fraction form
    629.40/869.45 = 598.65/x
  3. Step 3: Cross multiply
    629.40x = 869.45 × 598.65
  4. Step 4: Simplify right side
    629.40x = 520,491.90
  5. Step 5: Solve for x
    x = 520,491.90/629.40
  6. Step 6: Final answer
    x = 826.97

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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.