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Finding the Fourth Proportional to 808.64, 1,214.07 and 418.91

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Solution

The fourth proportional to 808.64, 1,214.07 and 418.91 is: 628.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.64 : 1,214.07 = 418.91 : x
  2. Step 2: Convert to fraction form
    808.64/1,214.07 = 418.91/x
  3. Step 3: Cross multiply
    808.64x = 1,214.07 × 418.91
  4. Step 4: Simplify right side
    808.64x = 508,585.02
  5. Step 5: Solve for x
    x = 508,585.02/808.64
  6. Step 6: Final answer
    x = 628.94

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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.