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Finding the Fourth Proportional to 598.42, 896.19 and 479.86

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Solution

The fourth proportional to 598.42, 896.19 and 479.86 is: 718.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.42 : 896.19 = 479.86 : x
  2. Step 2: Convert to fraction form
    598.42/896.19 = 479.86/x
  3. Step 3: Cross multiply
    598.42x = 896.19 × 479.86
  4. Step 4: Simplify right side
    598.42x = 430,045.73
  5. Step 5: Solve for x
    x = 430,045.73/598.42
  6. Step 6: Final answer
    x = 718.64

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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.