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Finding the Fourth Proportional to 794.25, 1,193.13 and 520.77

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Solution

The fourth proportional to 794.25, 1,193.13 and 520.77 is: 782.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.25 : 1,193.13 = 520.77 : x
  2. Step 2: Convert to fraction form
    794.25/1,193.13 = 520.77/x
  3. Step 3: Cross multiply
    794.25x = 1,193.13 × 520.77
  4. Step 4: Simplify right side
    794.25x = 621,346.31
  5. Step 5: Solve for x
    x = 621,346.31/794.25
  6. Step 6: Final answer
    x = 782.31

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1.5x scale

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.