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Finding the Fourth Proportional to 529.42, 794.82 and 407.78

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Solution

The fourth proportional to 529.42, 794.82 and 407.78 is: 612.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.42 : 794.82 = 407.78 : x
  2. Step 2: Convert to fraction form
    529.42/794.82 = 407.78/x
  3. Step 3: Cross multiply
    529.42x = 794.82 × 407.78
  4. Step 4: Simplify right side
    529.42x = 324,111.70
  5. Step 5: Solve for x
    x = 324,111.70/529.42
  6. Step 6: Final answer
    x = 612.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.