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Finding the Fourth Proportional to 612.44, 839.64 and 601.52

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Solution

The fourth proportional to 612.44, 839.64 and 601.52 is: 824.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.44 : 839.64 = 601.52 : x
  2. Step 2: Convert to fraction form
    612.44/839.64 = 601.52/x
  3. Step 3: Cross multiply
    612.44x = 839.64 × 601.52
  4. Step 4: Simplify right side
    612.44x = 505,060.25
  5. Step 5: Solve for x
    x = 505,060.25/612.44
  6. Step 6: Final answer
    x = 824.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.