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Finding the Fourth Proportional to 604.73, 907.37 and 258.02

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Solution

The fourth proportional to 604.73, 907.37 and 258.02 is: 387.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.73 : 907.37 = 258.02 : x
  2. Step 2: Convert to fraction form
    604.73/907.37 = 258.02/x
  3. Step 3: Cross multiply
    604.73x = 907.37 × 258.02
  4. Step 4: Simplify right side
    604.73x = 234,118.15
  5. Step 5: Solve for x
    x = 234,118.15/604.73
  6. Step 6: Final answer
    x = 387.14

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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.