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Finding the Fourth Proportional to 634.68, 947.22 and 618.30

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Solution

The fourth proportional to 634.68, 947.22 and 618.30 is: 922.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.68 : 947.22 = 618.30 : x
  2. Step 2: Convert to fraction form
    634.68/947.22 = 618.30/x
  3. Step 3: Cross multiply
    634.68x = 947.22 × 618.30
  4. Step 4: Simplify right side
    634.68x = 585,666.13
  5. Step 5: Solve for x
    x = 585,666.13/634.68
  6. Step 6: Final answer
    x = 922.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.