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Finding the Fourth Proportional to 600.84, 828.54 and 390.78

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Solution

The fourth proportional to 600.84, 828.54 and 390.78 is: 538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.84 : 828.54 = 390.78 : x
  2. Step 2: Convert to fraction form
    600.84/828.54 = 390.78/x
  3. Step 3: Cross multiply
    600.84x = 828.54 × 390.78
  4. Step 4: Simplify right side
    600.84x = 323,776.86
  5. Step 5: Solve for x
    x = 323,776.86/600.84
  6. Step 6: Final answer
    x = 538.87

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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.