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Finding the Fourth Proportional to 605.14, 902.60 and 586.91

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Solution

The fourth proportional to 605.14, 902.60 and 586.91 is: 875.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.14 : 902.60 = 586.91 : x
  2. Step 2: Convert to fraction form
    605.14/902.60 = 586.91/x
  3. Step 3: Cross multiply
    605.14x = 902.60 × 586.91
  4. Step 4: Simplify right side
    605.14x = 529,744.97
  5. Step 5: Solve for x
    x = 529,744.97/605.14
  6. Step 6: Final answer
    x = 875.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.