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Finding the Fourth Proportional to 611.30, 917.04 and 395.84

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Solution

The fourth proportional to 611.30, 917.04 and 395.84 is: 593.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.30 : 917.04 = 395.84 : x
  2. Step 2: Convert to fraction form
    611.30/917.04 = 395.84/x
  3. Step 3: Cross multiply
    611.30x = 917.04 × 395.84
  4. Step 4: Simplify right side
    611.30x = 363,001.11
  5. Step 5: Solve for x
    x = 363,001.11/611.30
  6. Step 6: Final answer
    x = 593.82

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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.