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Finding the Fourth Proportional to 604.90, 907.53 and 409.69

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Solution

The fourth proportional to 604.90, 907.53 and 409.69 is: 614.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.90 : 907.53 = 409.69 : x
  2. Step 2: Convert to fraction form
    604.90/907.53 = 409.69/x
  3. Step 3: Cross multiply
    604.90x = 907.53 × 409.69
  4. Step 4: Simplify right side
    604.90x = 371,805.97
  5. Step 5: Solve for x
    x = 371,805.97/604.90
  6. Step 6: Final answer
    x = 614.66

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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.