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Finding the Fourth Proportional to 784.73, 1,080.19 and 710.93

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Solution

The fourth proportional to 784.73, 1,080.19 and 710.93 is: 978.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.73 : 1,080.19 = 710.93 : x
  2. Step 2: Convert to fraction form
    784.73/1,080.19 = 710.93/x
  3. Step 3: Cross multiply
    784.73x = 1,080.19 × 710.93
  4. Step 4: Simplify right side
    784.73x = 767,932.30
  5. Step 5: Solve for x
    x = 767,932.30/784.73
  6. Step 6: Final answer
    x = 978.59

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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.