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Finding the Fourth Proportional to 593.84, 819.12 and 469.28

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Solution

The fourth proportional to 593.84, 819.12 and 469.28 is: 647.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.84 : 819.12 = 469.28 : x
  2. Step 2: Convert to fraction form
    593.84/819.12 = 469.28/x
  3. Step 3: Cross multiply
    593.84x = 819.12 × 469.28
  4. Step 4: Simplify right side
    593.84x = 384,396.63
  5. Step 5: Solve for x
    x = 384,396.63/593.84
  6. Step 6: Final answer
    x = 647.31

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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.