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Finding the Fourth Proportional to 611.34, 917.10 and 395.34

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Solution

The fourth proportional to 611.34, 917.10 and 395.34 is: 593.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.34 : 917.10 = 395.34 : x
  2. Step 2: Convert to fraction form
    611.34/917.10 = 395.34/x
  3. Step 3: Cross multiply
    611.34x = 917.10 × 395.34
  4. Step 4: Simplify right side
    611.34x = 362,566.31
  5. Step 5: Solve for x
    x = 362,566.31/611.34
  6. Step 6: Final answer
    x = 593.07

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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.