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Finding the Fourth Proportional to 604.49, 904.57 and 523.61

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Solution

The fourth proportional to 604.49, 904.57 and 523.61 is: 783.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.49 : 904.57 = 523.61 : x
  2. Step 2: Convert to fraction form
    604.49/904.57 = 523.61/x
  3. Step 3: Cross multiply
    604.49x = 904.57 × 523.61
  4. Step 4: Simplify right side
    604.49x = 473,641.90
  5. Step 5: Solve for x
    x = 473,641.90/604.49
  6. Step 6: Final answer
    x = 783.54

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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.