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Finding the Fourth Proportional to 713.12, 1,062.99 and 634.64

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Solution

The fourth proportional to 713.12, 1,062.99 and 634.64 is: 946.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.12 : 1,062.99 = 634.64 : x
  2. Step 2: Convert to fraction form
    713.12/1,062.99 = 634.64/x
  3. Step 3: Cross multiply
    713.12x = 1,062.99 × 634.64
  4. Step 4: Simplify right side
    713.12x = 674,615.97
  5. Step 5: Solve for x
    x = 674,615.97/713.12
  6. Step 6: Final answer
    x = 946.01

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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.