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Finding the Fourth Proportional to 529.49, 794.93 and 407.84

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Solution

The fourth proportional to 529.49, 794.93 and 407.84 is: 612.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.49 : 794.93 = 407.84 : x
  2. Step 2: Convert to fraction form
    529.49/794.93 = 407.84/x
  3. Step 3: Cross multiply
    529.49x = 794.93 × 407.84
  4. Step 4: Simplify right side
    529.49x = 324,198.24
  5. Step 5: Solve for x
    x = 324,198.24/529.49
  6. Step 6: Final answer
    x = 612.28

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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.