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Finding the Fourth Proportional to 593.89, 891.12 and 305.53

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Solution

The fourth proportional to 593.89, 891.12 and 305.53 is: 458.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.89 : 891.12 = 305.53 : x
  2. Step 2: Convert to fraction form
    593.89/891.12 = 305.53/x
  3. Step 3: Cross multiply
    593.89x = 891.12 × 305.53
  4. Step 4: Simplify right side
    593.89x = 272,263.89
  5. Step 5: Solve for x
    x = 272,263.89/593.89
  6. Step 6: Final answer
    x = 458.44

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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.