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Finding the Fourth Proportional to 604.95, 906.67 and 258.00

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Solution

The fourth proportional to 604.95, 906.67 and 258.00 is: 386.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.95 : 906.67 = 258.00 : x
  2. Step 2: Convert to fraction form
    604.95/906.67 = 258.00/x
  3. Step 3: Cross multiply
    604.95x = 906.67 × 258.00
  4. Step 4: Simplify right side
    604.95x = 233,917.78
  5. Step 5: Solve for x
    x = 233,917.78/604.95
  6. Step 6: Final answer
    x = 386.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.