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Finding the Fourth Proportional to 598.66, 896.70 and 415.18

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Solution

The fourth proportional to 598.66, 896.70 and 415.18 is: 621.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.66 : 896.70 = 415.18 : x
  2. Step 2: Convert to fraction form
    598.66/896.70 = 415.18/x
  3. Step 3: Cross multiply
    598.66x = 896.70 × 415.18
  4. Step 4: Simplify right side
    598.66x = 372,291.91
  5. Step 5: Solve for x
    x = 372,291.91/598.66
  6. Step 6: Final answer
    x = 621.88

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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.