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Finding the Fourth Proportional to 593.42, 890.51 and 319.70

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Solution

The fourth proportional to 593.42, 890.51 and 319.70 is: 479.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.42 : 890.51 = 319.70 : x
  2. Step 2: Convert to fraction form
    593.42/890.51 = 319.70/x
  3. Step 3: Cross multiply
    593.42x = 890.51 × 319.70
  4. Step 4: Simplify right side
    593.42x = 284,699.37
  5. Step 5: Solve for x
    x = 284,699.37/593.42
  6. Step 6: Final answer
    x = 479.76

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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.