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Finding the Fourth Proportional to 794.77, 1,096.47 and 500.20

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Solution

The fourth proportional to 794.77, 1,096.47 and 500.20 is: 690.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.77 : 1,096.47 = 500.20 : x
  2. Step 2: Convert to fraction form
    794.77/1,096.47 = 500.20/x
  3. Step 3: Cross multiply
    794.77x = 1,096.47 × 500.20
  4. Step 4: Simplify right side
    794.77x = 548,451.55
  5. Step 5: Solve for x
    x = 548,451.55/794.77
  6. Step 6: Final answer
    x = 690.08

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Double scale
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1.5x scale

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.