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Finding the Fourth Proportional to 810.90, 1,119 and 456.84

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Solution

The fourth proportional to 810.90, 1,119 and 456.84 is: 630.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.90 : 1,119 = 456.84 : x
  2. Step 2: Convert to fraction form
    810.90/1,119 = 456.84/x
  3. Step 3: Cross multiply
    810.90x = 1,119 × 456.84
  4. Step 4: Simplify right side
    810.90x = 511,203.96
  5. Step 5: Solve for x
    x = 511,203.96/810.90
  6. Step 6: Final answer
    x = 630.42

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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.