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Finding the Fourth Proportional to 722.29, 1,078.20 and 634.71

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Solution

The fourth proportional to 722.29, 1,078.20 and 634.71 is: 947.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.29 : 1,078.20 = 634.71 : x
  2. Step 2: Convert to fraction form
    722.29/1,078.20 = 634.71/x
  3. Step 3: Cross multiply
    722.29x = 1,078.20 × 634.71
  4. Step 4: Simplify right side
    722.29x = 684,342.66
  5. Step 5: Solve for x
    x = 684,342.66/722.29
  6. Step 6: Final answer
    x = 947.47

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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.