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Finding the Fourth Proportional to 778.21, 1,166.47 and 504.50

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Solution

The fourth proportional to 778.21, 1,166.47 and 504.50 is: 756.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.21 : 1,166.47 = 504.50 : x
  2. Step 2: Convert to fraction form
    778.21/1,166.47 = 504.50/x
  3. Step 3: Cross multiply
    778.21x = 1,166.47 × 504.50
  4. Step 4: Simplify right side
    778.21x = 588,477.02
  5. Step 5: Solve for x
    x = 588,477.02/778.21
  6. Step 6: Final answer
    x = 756.20

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Double scale
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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.