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Finding the Fourth Proportional to 593.76, 819.20 and 360.72

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Solution

The fourth proportional to 593.76, 819.20 and 360.72 is: 497.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.76 : 819.20 = 360.72 : x
  2. Step 2: Convert to fraction form
    593.76/819.20 = 360.72/x
  3. Step 3: Cross multiply
    593.76x = 819.20 × 360.72
  4. Step 4: Simplify right side
    593.76x = 295,501.82
  5. Step 5: Solve for x
    x = 295,501.82/593.76
  6. Step 6: Final answer
    x = 497.68

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Double scale
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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.