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Finding the Fourth Proportional to 634.29, 946.38 and 568.23

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Solution

The fourth proportional to 634.29, 946.38 and 568.23 is: 847.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.29 : 946.38 = 568.23 : x
  2. Step 2: Convert to fraction form
    634.29/946.38 = 568.23/x
  3. Step 3: Cross multiply
    634.29x = 946.38 × 568.23
  4. Step 4: Simplify right side
    634.29x = 537,761.51
  5. Step 5: Solve for x
    x = 537,761.51/634.29
  6. Step 6: Final answer
    x = 847.82

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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.