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Finding the Fourth Proportional to 811.64, 1,218.00 and 298.64

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Solution

The fourth proportional to 811.64, 1,218.00 and 298.64 is: 448.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.64 : 1,218.00 = 298.64 : x
  2. Step 2: Convert to fraction form
    811.64/1,218.00 = 298.64/x
  3. Step 3: Cross multiply
    811.64x = 1,218.00 × 298.64
  4. Step 4: Simplify right side
    811.64x = 363,745.42
  5. Step 5: Solve for x
    x = 363,745.42/811.64
  6. Step 6: Final answer
    x = 448.16

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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.