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Finding the Fourth Proportional to 611.92, 845.08 and 524.08

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Solution

The fourth proportional to 611.92, 845.08 and 524.08 is: 723.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.92 : 845.08 = 524.08 : x
  2. Step 2: Convert to fraction form
    611.92/845.08 = 524.08/x
  3. Step 3: Cross multiply
    611.92x = 845.08 × 524.08
  4. Step 4: Simplify right side
    611.92x = 442,889.53
  5. Step 5: Solve for x
    x = 442,889.53/611.92
  6. Step 6: Final answer
    x = 723.77

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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.