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Finding the Fourth Proportional to 930.72, 1,284.40 and 516.72

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Solution

The fourth proportional to 930.72, 1,284.40 and 516.72 is: 713.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.72 : 1,284.40 = 516.72 : x
  2. Step 2: Convert to fraction form
    930.72/1,284.40 = 516.72/x
  3. Step 3: Cross multiply
    930.72x = 1,284.40 × 516.72
  4. Step 4: Simplify right side
    930.72x = 663,672.58
  5. Step 5: Solve for x
    x = 663,672.58/930.72
  6. Step 6: Final answer
    x = 713.07

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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.