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Finding the Fourth Proportional to 930.82, 1,284.12 and 576.64

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Solution

The fourth proportional to 930.82, 1,284.12 and 576.64 is: 795.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.82 : 1,284.12 = 576.64 : x
  2. Step 2: Convert to fraction form
    930.82/1,284.12 = 576.64/x
  3. Step 3: Cross multiply
    930.82x = 1,284.12 × 576.64
  4. Step 4: Simplify right side
    930.82x = 740,475.28
  5. Step 5: Solve for x
    x = 740,475.28/930.82
  6. Step 6: Final answer
    x = 795.51

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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.