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Finding the Fourth Proportional to 810.14, 1,118 and 460.84

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Solution

The fourth proportional to 810.14, 1,118 and 460.84 is: 635.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.14 : 1,118 = 460.84 : x
  2. Step 2: Convert to fraction form
    810.14/1,118 = 460.84/x
  3. Step 3: Cross multiply
    810.14x = 1,118 × 460.84
  4. Step 4: Simplify right side
    810.14x = 515,219.12
  5. Step 5: Solve for x
    x = 515,219.12/810.14
  6. Step 6: Final answer
    x = 635.96

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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.