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Finding the Fourth Proportional to 811.18, 1,214.78 and 463.66

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Solution

The fourth proportional to 811.18, 1,214.78 and 463.66 is: 694.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.18 : 1,214.78 = 463.66 : x
  2. Step 2: Convert to fraction form
    811.18/1,214.78 = 463.66/x
  3. Step 3: Cross multiply
    811.18x = 1,214.78 × 463.66
  4. Step 4: Simplify right side
    811.18x = 563,236.50
  5. Step 5: Solve for x
    x = 563,236.50/811.18
  6. Step 6: Final answer
    x = 694.34

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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.