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Finding the Fourth Proportional to 593.66, 889.85 and 319.88

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Solution

The fourth proportional to 593.66, 889.85 and 319.88 is: 479.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.66 : 889.85 = 319.88 : x
  2. Step 2: Convert to fraction form
    593.66/889.85 = 319.88/x
  3. Step 3: Cross multiply
    593.66x = 889.85 × 319.88
  4. Step 4: Simplify right side
    593.66x = 284,641.57
  5. Step 5: Solve for x
    x = 284,641.57/593.66
  6. Step 6: Final answer
    x = 479.47

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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.