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Finding the Fourth Proportional to 810.85, 1,216.27 and 263.01

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Solution

The fourth proportional to 810.85, 1,216.27 and 263.01 is: 394.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.85 : 1,216.27 = 263.01 : x
  2. Step 2: Convert to fraction form
    810.85/1,216.27 = 263.01/x
  3. Step 3: Cross multiply
    810.85x = 1,216.27 × 263.01
  4. Step 4: Simplify right side
    810.85x = 319,891.17
  5. Step 5: Solve for x
    x = 319,891.17/810.85
  6. Step 6: Final answer
    x = 394.51

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Half scale
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Double scale
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Similar ratio
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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.