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Finding the Fourth Proportional to 601.62, 828.45 and 558.06

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Solution

The fourth proportional to 601.62, 828.45 and 558.06 is: 768.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.62 : 828.45 = 558.06 : x
  2. Step 2: Convert to fraction form
    601.62/828.45 = 558.06/x
  3. Step 3: Cross multiply
    601.62x = 828.45 × 558.06
  4. Step 4: Simplify right side
    601.62x = 462,324.81
  5. Step 5: Solve for x
    x = 462,324.81/601.62
  6. Step 6: Final answer
    x = 768.47

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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.