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Finding the Fourth Proportional to 784.76, 1,087.92 and 743.14

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Solution

The fourth proportional to 784.76, 1,087.92 and 743.14 is: 1,030.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.76 : 1,087.92 = 743.14 : x
  2. Step 2: Convert to fraction form
    784.76/1,087.92 = 743.14/x
  3. Step 3: Cross multiply
    784.76x = 1,087.92 × 743.14
  4. Step 4: Simplify right side
    784.76x = 808,476.87
  5. Step 5: Solve for x
    x = 808,476.87/784.76
  6. Step 6: Final answer
    x = 1,030.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.