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Finding the Fourth Proportional to 593.90, 819.42 and 384.38

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Solution

The fourth proportional to 593.90, 819.42 and 384.38 is: 530.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.90 : 819.42 = 384.38 : x
  2. Step 2: Convert to fraction form
    593.90/819.42 = 384.38/x
  3. Step 3: Cross multiply
    593.90x = 819.42 × 384.38
  4. Step 4: Simplify right side
    593.90x = 314,968.66
  5. Step 5: Solve for x
    x = 314,968.66/593.90
  6. Step 6: Final answer
    x = 530.34

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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.