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Finding the Fourth Proportional to 930.11, 1,387.30 and 784.82

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Solution

The fourth proportional to 930.11, 1,387.30 and 784.82 is: 1,170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.11 : 1,387.30 = 784.82 : x
  2. Step 2: Convert to fraction form
    930.11/1,387.30 = 784.82/x
  3. Step 3: Cross multiply
    930.11x = 1,387.30 × 784.82
  4. Step 4: Simplify right side
    930.11x = 1,088,780.79
  5. Step 5: Solve for x
    x = 1,088,780.79/930.11
  6. Step 6: Final answer
    x = 1,170.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.