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Finding the Fourth Proportional to 604, 902.29 and 506.80

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Solution

The fourth proportional to 604, 902.29 and 506.80 is: 757.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    604 : 902.29 = 506.80 : x
  2. Step 2: Convert to fraction form
    604/902.29 = 506.80/x
  3. Step 3: Cross multiply
    604x = 902.29 × 506.80
  4. Step 4: Simplify right side
    604x = 457,280.57
  5. Step 5: Solve for x
    x = 457,280.57/604
  6. Step 6: Final answer
    x = 757.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.