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Finding the Fourth Proportional to 931.22, 1,284.86 and 558.14

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Solution

The fourth proportional to 931.22, 1,284.86 and 558.14 is: 770.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.22 : 1,284.86 = 558.14 : x
  2. Step 2: Convert to fraction form
    931.22/1,284.86 = 558.14/x
  3. Step 3: Cross multiply
    931.22x = 1,284.86 × 558.14
  4. Step 4: Simplify right side
    931.22x = 717,122.55
  5. Step 5: Solve for x
    x = 717,122.55/931.22
  6. Step 6: Final answer
    x = 770.09

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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.