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Finding the Fourth Proportional to 634.23, 873.18 and 597.78

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Solution

The fourth proportional to 634.23, 873.18 and 597.78 is: 823.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.23 : 873.18 = 597.78 : x
  2. Step 2: Convert to fraction form
    634.23/873.18 = 597.78/x
  3. Step 3: Cross multiply
    634.23x = 873.18 × 597.78
  4. Step 4: Simplify right side
    634.23x = 521,969.54
  5. Step 5: Solve for x
    x = 521,969.54/634.23
  6. Step 6: Final answer
    x = 823.00

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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.