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Finding the Fourth Proportional to 931.37, 1,284.12 and 709.97

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Solution

The fourth proportional to 931.37, 1,284.12 and 709.97 is: 978.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.37 : 1,284.12 = 709.97 : x
  2. Step 2: Convert to fraction form
    931.37/1,284.12 = 709.97/x
  3. Step 3: Cross multiply
    931.37x = 1,284.12 × 709.97
  4. Step 4: Simplify right side
    931.37x = 911,680.26
  5. Step 5: Solve for x
    x = 911,680.26/931.37
  6. Step 6: Final answer
    x = 978.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.