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Finding the Fourth Proportional to 604.98, 912.56 and 585.54

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Solution

The fourth proportional to 604.98, 912.56 and 585.54 is: 883.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.98 : 912.56 = 585.54 : x
  2. Step 2: Convert to fraction form
    604.98/912.56 = 585.54/x
  3. Step 3: Cross multiply
    604.98x = 912.56 × 585.54
  4. Step 4: Simplify right side
    604.98x = 534,337.45
  5. Step 5: Solve for x
    x = 534,337.45/604.98
  6. Step 6: Final answer
    x = 883.23

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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.