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Finding the Fourth Proportional to 611.73, 917.78 and 525.87

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Solution

The fourth proportional to 611.73, 917.78 and 525.87 is: 788.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.73 : 917.78 = 525.87 : x
  2. Step 2: Convert to fraction form
    611.73/917.78 = 525.87/x
  3. Step 3: Cross multiply
    611.73x = 917.78 × 525.87
  4. Step 4: Simplify right side
    611.73x = 482,630.34
  5. Step 5: Solve for x
    x = 482,630.34/611.73
  6. Step 6: Final answer
    x = 788.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.