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Finding the Fourth Proportional to 634.80, 947.12 and 568.74

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Solution

The fourth proportional to 634.80, 947.12 and 568.74 is: 848.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.80 : 947.12 = 568.74 : x
  2. Step 2: Convert to fraction form
    634.80/947.12 = 568.74/x
  3. Step 3: Cross multiply
    634.80x = 947.12 × 568.74
  4. Step 4: Simplify right side
    634.80x = 538,665.03
  5. Step 5: Solve for x
    x = 538,665.03/634.80
  6. Step 6: Final answer
    x = 848.56

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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.