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Finding the Fourth Proportional to 784.31, 1,170.68 and 719.37

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Solution

The fourth proportional to 784.31, 1,170.68 and 719.37 is: 1,073.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.31 : 1,170.68 = 719.37 : x
  2. Step 2: Convert to fraction form
    784.31/1,170.68 = 719.37/x
  3. Step 3: Cross multiply
    784.31x = 1,170.68 × 719.37
  4. Step 4: Simplify right side
    784.31x = 842,148.47
  5. Step 5: Solve for x
    x = 842,148.47/784.31
  6. Step 6: Final answer
    x = 1,073.75

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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.