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Finding the Fourth Proportional to 811.57, 1,119.75 and 496.72

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Solution

The fourth proportional to 811.57, 1,119.75 and 496.72 is: 685.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.57 : 1,119.75 = 496.72 : x
  2. Step 2: Convert to fraction form
    811.57/1,119.75 = 496.72/x
  3. Step 3: Cross multiply
    811.57x = 1,119.75 × 496.72
  4. Step 4: Simplify right side
    811.57x = 556,196.62
  5. Step 5: Solve for x
    x = 556,196.62/811.57
  6. Step 6: Final answer
    x = 685.34

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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.