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Finding the Fourth Proportional to 593.30, 819.03 and 423.07

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Solution

The fourth proportional to 593.30, 819.03 and 423.07 is: 584.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.30 : 819.03 = 423.07 : x
  2. Step 2: Convert to fraction form
    593.30/819.03 = 423.07/x
  3. Step 3: Cross multiply
    593.30x = 819.03 × 423.07
  4. Step 4: Simplify right side
    593.30x = 346,500.81
  5. Step 5: Solve for x
    x = 346,500.81/593.30
  6. Step 6: Final answer
    x = 584.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.