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Finding the Fourth Proportional to 784.70, 1,083.10 and 772.85

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Solution

The fourth proportional to 784.70, 1,083.10 and 772.85 is: 1,066.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.70 : 1,083.10 = 772.85 : x
  2. Step 2: Convert to fraction form
    784.70/1,083.10 = 772.85/x
  3. Step 3: Cross multiply
    784.70x = 1,083.10 × 772.85
  4. Step 4: Simplify right side
    784.70x = 837,073.84
  5. Step 5: Solve for x
    x = 837,073.84/784.70
  6. Step 6: Final answer
    x = 1,066.74

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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.