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Finding the Fourth Proportional to 611.87, 913.91 and 524.79

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Solution

The fourth proportional to 611.87, 913.91 and 524.79 is: 783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.87 : 913.91 = 524.79 : x
  2. Step 2: Convert to fraction form
    611.87/913.91 = 524.79/x
  3. Step 3: Cross multiply
    611.87x = 913.91 × 524.79
  4. Step 4: Simplify right side
    611.87x = 479,608.20
  5. Step 5: Solve for x
    x = 479,608.20/611.87
  6. Step 6: Final answer
    x = 783.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.