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Finding the Fourth Proportional to 593.79, 889.61 and 438

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Solution

The fourth proportional to 593.79, 889.61 and 438 is: 656.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.79 : 889.61 = 438 : x
  2. Step 2: Convert to fraction form
    593.79/889.61 = 438/x
  3. Step 3: Cross multiply
    593.79x = 889.61 × 438
  4. Step 4: Simplify right side
    593.79x = 389,646.99
  5. Step 5: Solve for x
    x = 389,646.99/593.79
  6. Step 6: Final answer
    x = 656.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.