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Finding the Fourth Proportional to 593.99, 891.30 and 305.42

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Solution

The fourth proportional to 593.99, 891.30 and 305.42 is: 458.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.99 : 891.30 = 305.42 : x
  2. Step 2: Convert to fraction form
    593.99/891.30 = 305.42/x
  3. Step 3: Cross multiply
    593.99x = 891.30 × 305.42
  4. Step 4: Simplify right side
    593.99x = 272,219.32
  5. Step 5: Solve for x
    x = 272,219.32/593.99
  6. Step 6: Final answer
    x = 458.29

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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.