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Finding the Fourth Proportional to 606.84, 910.24 and 361.74

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Solution

The fourth proportional to 606.84, 910.24 and 361.74 is: 542.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.84 : 910.24 = 361.74 : x
  2. Step 2: Convert to fraction form
    606.84/910.24 = 361.74/x
  3. Step 3: Cross multiply
    606.84x = 910.24 × 361.74
  4. Step 4: Simplify right side
    606.84x = 329,269.31
  5. Step 5: Solve for x
    x = 329,269.31/606.84
  6. Step 6: Final answer
    x = 542.60

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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.