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Finding the Fourth Proportional to 601.74, 828.48 and 524.11

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Solution

The fourth proportional to 601.74, 828.48 and 524.11 is: 721.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.74 : 828.48 = 524.11 : x
  2. Step 2: Convert to fraction form
    601.74/828.48 = 524.11/x
  3. Step 3: Cross multiply
    601.74x = 828.48 × 524.11
  4. Step 4: Simplify right side
    601.74x = 434,214.65
  5. Step 5: Solve for x
    x = 434,214.65/601.74
  6. Step 6: Final answer
    x = 721.60

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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.