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Finding the Fourth Proportional to 810.97, 1,119 and 456.82

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Solution

The fourth proportional to 810.97, 1,119 and 456.82 is: 630.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.97 : 1,119 = 456.82 : x
  2. Step 2: Convert to fraction form
    810.97/1,119 = 456.82/x
  3. Step 3: Cross multiply
    810.97x = 1,119 × 456.82
  4. Step 4: Simplify right side
    810.97x = 511,175.99
  5. Step 5: Solve for x
    x = 511,175.99/810.97
  6. Step 6: Final answer
    x = 630.33

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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.