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Finding the Fourth Proportional to 629.79, 869.54 and 563.19

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Solution

The fourth proportional to 629.79, 869.54 and 563.19 is: 777.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.79 : 869.54 = 563.19 : x
  2. Step 2: Convert to fraction form
    629.79/869.54 = 563.19/x
  3. Step 3: Cross multiply
    629.79x = 869.54 × 563.19
  4. Step 4: Simplify right side
    629.79x = 489,713.42
  5. Step 5: Solve for x
    x = 489,713.42/629.79
  6. Step 6: Final answer
    x = 777.58

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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.