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Finding the Fourth Proportional to 604.80, 912.60 and 584.55

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Solution

The fourth proportional to 604.80, 912.60 and 584.55 is: 882.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.80 : 912.60 = 584.55 : x
  2. Step 2: Convert to fraction form
    604.80/912.60 = 584.55/x
  3. Step 3: Cross multiply
    604.80x = 912.60 × 584.55
  4. Step 4: Simplify right side
    604.80x = 533,460.33
  5. Step 5: Solve for x
    x = 533,460.33/604.80
  6. Step 6: Final answer
    x = 882.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.