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Finding the Fourth Proportional to 604.74, 902.75 and 559.66

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Solution

The fourth proportional to 604.74, 902.75 and 559.66 is: 835.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.74 : 902.75 = 559.66 : x
  2. Step 2: Convert to fraction form
    604.74/902.75 = 559.66/x
  3. Step 3: Cross multiply
    604.74x = 902.75 × 559.66
  4. Step 4: Simplify right side
    604.74x = 505,233.07
  5. Step 5: Solve for x
    x = 505,233.07/604.74
  6. Step 6: Final answer
    x = 835.46

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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.