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Finding the Fourth Proportional to 629.84, 869.62 and 505.61

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Solution

The fourth proportional to 629.84, 869.62 and 505.61 is: 698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.84 : 869.62 = 505.61 : x
  2. Step 2: Convert to fraction form
    629.84/869.62 = 505.61/x
  3. Step 3: Cross multiply
    629.84x = 869.62 × 505.61
  4. Step 4: Simplify right side
    629.84x = 439,688.57
  5. Step 5: Solve for x
    x = 439,688.57/629.84
  6. Step 6: Final answer
    x = 698.10

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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.