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Finding the Fourth Proportional to 529.83, 794.64 and 205.23

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Solution

The fourth proportional to 529.83, 794.64 and 205.23 is: 307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.83 : 794.64 = 205.23 : x
  2. Step 2: Convert to fraction form
    529.83/794.64 = 205.23/x
  3. Step 3: Cross multiply
    529.83x = 794.64 × 205.23
  4. Step 4: Simplify right side
    529.83x = 163,083.97
  5. Step 5: Solve for x
    x = 163,083.97/529.83
  6. Step 6: Final answer
    x = 307.80

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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.