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Finding the Fourth Proportional to 593.16, 889.47 and 319.38

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Solution

The fourth proportional to 593.16, 889.47 and 319.38 is: 478.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.16 : 889.47 = 319.38 : x
  2. Step 2: Convert to fraction form
    593.16/889.47 = 319.38/x
  3. Step 3: Cross multiply
    593.16x = 889.47 × 319.38
  4. Step 4: Simplify right side
    593.16x = 284,078.93
  5. Step 5: Solve for x
    x = 284,078.93/593.16
  6. Step 6: Final answer
    x = 478.92

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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.