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Finding the Fourth Proportional to 601.80, 828.22 and 509.76

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Solution

The fourth proportional to 601.80, 828.22 and 509.76 is: 701.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.80 : 828.22 = 509.76 : x
  2. Step 2: Convert to fraction form
    601.80/828.22 = 509.76/x
  3. Step 3: Cross multiply
    601.80x = 828.22 × 509.76
  4. Step 4: Simplify right side
    601.80x = 422,193.43
  5. Step 5: Solve for x
    x = 422,193.43/601.80
  6. Step 6: Final answer
    x = 701.55

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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.