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Finding the Fourth Proportional to 707.13, 1,052.37 and 681.21

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Solution

The fourth proportional to 707.13, 1,052.37 and 681.21 is: 1,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.13 : 1,052.37 = 681.21 : x
  2. Step 2: Convert to fraction form
    707.13/1,052.37 = 681.21/x
  3. Step 3: Cross multiply
    707.13x = 1,052.37 × 681.21
  4. Step 4: Simplify right side
    707.13x = 716,884.97
  5. Step 5: Solve for x
    x = 716,884.97/707.13
  6. Step 6: Final answer
    x = 1,013.80

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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.