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Finding the Fourth Proportional to 598.64, 896.22 and 511.42

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Solution

The fourth proportional to 598.64, 896.22 and 511.42 is: 765.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.64 : 896.22 = 511.42 : x
  2. Step 2: Convert to fraction form
    598.64/896.22 = 511.42/x
  3. Step 3: Cross multiply
    598.64x = 896.22 × 511.42
  4. Step 4: Simplify right side
    598.64x = 458,344.83
  5. Step 5: Solve for x
    x = 458,344.83/598.64
  6. Step 6: Final answer
    x = 765.64

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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.