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Finding the Fourth Proportional to 593.46, 890.46 and 398.66

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Solution

The fourth proportional to 593.46, 890.46 and 398.66 is: 598.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.46 : 890.46 = 398.66 : x
  2. Step 2: Convert to fraction form
    593.46/890.46 = 398.66/x
  3. Step 3: Cross multiply
    593.46x = 890.46 × 398.66
  4. Step 4: Simplify right side
    593.46x = 354,986.33
  5. Step 5: Solve for x
    x = 354,986.33/593.46
  6. Step 6: Final answer
    x = 598.16

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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.