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Finding the Fourth Proportional to 601.54, 828.12 and 527.74

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Solution

The fourth proportional to 601.54, 828.12 and 527.74 is: 726.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.54 : 828.12 = 527.74 : x
  2. Step 2: Convert to fraction form
    601.54/828.12 = 527.74/x
  3. Step 3: Cross multiply
    601.54x = 828.12 × 527.74
  4. Step 4: Simplify right side
    601.54x = 437,032.05
  5. Step 5: Solve for x
    x = 437,032.05/601.54
  6. Step 6: Final answer
    x = 726.52

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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.