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Finding the Fourth Proportional to 605.84, 836.10 and 500.90

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Solution

The fourth proportional to 605.84, 836.10 and 500.90 is: 691.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.84 : 836.10 = 500.90 : x
  2. Step 2: Convert to fraction form
    605.84/836.10 = 500.90/x
  3. Step 3: Cross multiply
    605.84x = 836.10 × 500.90
  4. Step 4: Simplify right side
    605.84x = 418,802.49
  5. Step 5: Solve for x
    x = 418,802.49/605.84
  6. Step 6: Final answer
    x = 691.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.