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Finding the Fourth Proportional to 930.66, 1,284.25 and 537.68

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Solution

The fourth proportional to 930.66, 1,284.25 and 537.68 is: 741.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.66 : 1,284.25 = 537.68 : x
  2. Step 2: Convert to fraction form
    930.66/1,284.25 = 537.68/x
  3. Step 3: Cross multiply
    930.66x = 1,284.25 × 537.68
  4. Step 4: Simplify right side
    930.66x = 690,506.43
  5. Step 5: Solve for x
    x = 690,506.43/930.66
  6. Step 6: Final answer
    x = 741.95

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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.