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Finding the Fourth Proportional to 784.28, 1,175.98 and 537.77

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Solution

The fourth proportional to 784.28, 1,175.98 and 537.77 is: 806.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.28 : 1,175.98 = 537.77 : x
  2. Step 2: Convert to fraction form
    784.28/1,175.98 = 537.77/x
  3. Step 3: Cross multiply
    784.28x = 1,175.98 × 537.77
  4. Step 4: Simplify right side
    784.28x = 632,399.54
  5. Step 5: Solve for x
    x = 632,399.54/784.28
  6. Step 6: Final answer
    x = 806.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.