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Finding the Fourth Proportional to 713.58, 1,065.11 and 661.47

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Solution

The fourth proportional to 713.58, 1,065.11 and 661.47 is: 987.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.58 : 1,065.11 = 661.47 : x
  2. Step 2: Convert to fraction form
    713.58/1,065.11 = 661.47/x
  3. Step 3: Cross multiply
    713.58x = 1,065.11 × 661.47
  4. Step 4: Simplify right side
    713.58x = 704,538.31
  5. Step 5: Solve for x
    x = 704,538.31/713.58
  6. Step 6: Final answer
    x = 987.33

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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.