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Finding the Fourth Proportional to 593.64, 820.98 and 519.84

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Solution

The fourth proportional to 593.64, 820.98 and 519.84 is: 718.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.64 : 820.98 = 519.84 : x
  2. Step 2: Convert to fraction form
    593.64/820.98 = 519.84/x
  3. Step 3: Cross multiply
    593.64x = 820.98 × 519.84
  4. Step 4: Simplify right side
    593.64x = 426,778.24
  5. Step 5: Solve for x
    x = 426,778.24/593.64
  6. Step 6: Final answer
    x = 718.92

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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.