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Finding the Fourth Proportional to 604.50, 900.81 and 584.93

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Solution

The fourth proportional to 604.50, 900.81 and 584.93 is: 871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.50 : 900.81 = 584.93 : x
  2. Step 2: Convert to fraction form
    604.50/900.81 = 584.93/x
  3. Step 3: Cross multiply
    604.50x = 900.81 × 584.93
  4. Step 4: Simplify right side
    604.50x = 526,906.29
  5. Step 5: Solve for x
    x = 526,906.29/604.50
  6. Step 6: Final answer
    x = 871.64

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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.