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Finding the Fourth Proportional to 604.86, 902.94 and 580.56

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Solution

The fourth proportional to 604.86, 902.94 and 580.56 is: 866.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.86 : 902.94 = 580.56 : x
  2. Step 2: Convert to fraction form
    604.86/902.94 = 580.56/x
  3. Step 3: Cross multiply
    604.86x = 902.94 × 580.56
  4. Step 4: Simplify right side
    604.86x = 524,210.85
  5. Step 5: Solve for x
    x = 524,210.85/604.86
  6. Step 6: Final answer
    x = 866.66

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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.