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Finding the Fourth Proportional to 713.16, 1,064.63 and 681.64

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Solution

The fourth proportional to 713.16, 1,064.63 and 681.64 is: 1,017.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.16 : 1,064.63 = 681.64 : x
  2. Step 2: Convert to fraction form
    713.16/1,064.63 = 681.64/x
  3. Step 3: Cross multiply
    713.16x = 1,064.63 × 681.64
  4. Step 4: Simplify right side
    713.16x = 725,694.39
  5. Step 5: Solve for x
    x = 725,694.39/713.16
  6. Step 6: Final answer
    x = 1,017.58

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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.