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Finding the Fourth Proportional to 811.78, 1,120.27 and 462.47

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Solution

The fourth proportional to 811.78, 1,120.27 and 462.47 is: 638.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.78 : 1,120.27 = 462.47 : x
  2. Step 2: Convert to fraction form
    811.78/1,120.27 = 462.47/x
  3. Step 3: Cross multiply
    811.78x = 1,120.27 × 462.47
  4. Step 4: Simplify right side
    811.78x = 518,091.27
  5. Step 5: Solve for x
    x = 518,091.27/811.78
  6. Step 6: Final answer
    x = 638.22

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Half scale
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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.