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Finding the Fourth Proportional to 605.07, 902.50 and 552.01

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Solution

The fourth proportional to 605.07, 902.50 and 552.01 is: 823.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.07 : 902.50 = 552.01 : x
  2. Step 2: Convert to fraction form
    605.07/902.50 = 552.01/x
  3. Step 3: Cross multiply
    605.07x = 902.50 × 552.01
  4. Step 4: Simplify right side
    605.07x = 498,189.03
  5. Step 5: Solve for x
    x = 498,189.03/605.07
  6. Step 6: Final answer
    x = 823.36

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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.