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Finding the Fourth Proportional to 811.74, 1,120.20 and 462.36

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Solution

The fourth proportional to 811.74, 1,120.20 and 462.36 is: 638.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.74 : 1,120.20 = 462.36 : x
  2. Step 2: Convert to fraction form
    811.74/1,120.20 = 462.36/x
  3. Step 3: Cross multiply
    811.74x = 1,120.20 × 462.36
  4. Step 4: Simplify right side
    811.74x = 517,935.67
  5. Step 5: Solve for x
    x = 517,935.67/811.74
  6. Step 6: Final answer
    x = 638.06

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Half scale
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Double scale
Find fourth proportional to 812.74, 1,121.58 and 463.36
Similar ratio
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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.