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Finding the Fourth Proportional to 712.29, 1,062.71 and 634.33

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Solution

The fourth proportional to 712.29, 1,062.71 and 634.33 is: 946.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.29 : 1,062.71 = 634.33 : x
  2. Step 2: Convert to fraction form
    712.29/1,062.71 = 634.33/x
  3. Step 3: Cross multiply
    712.29x = 1,062.71 × 634.33
  4. Step 4: Simplify right side
    712.29x = 674,108.83
  5. Step 5: Solve for x
    x = 674,108.83/712.29
  6. Step 6: Final answer
    x = 946.40

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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.