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Finding the Fourth Proportional to 808.02, 1,114.92 and 458.64

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Solution

The fourth proportional to 808.02, 1,114.92 and 458.64 is: 632.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.02 : 1,114.92 = 458.64 : x
  2. Step 2: Convert to fraction form
    808.02/1,114.92 = 458.64/x
  3. Step 3: Cross multiply
    808.02x = 1,114.92 × 458.64
  4. Step 4: Simplify right side
    808.02x = 511,346.91
  5. Step 5: Solve for x
    x = 511,346.91/808.02
  6. Step 6: Final answer
    x = 632.84

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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.