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Finding the Fourth Proportional to 603.95, 902.48 and 506.75

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Solution

The fourth proportional to 603.95, 902.48 and 506.75 is: 757.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.95 : 902.48 = 506.75 : x
  2. Step 2: Convert to fraction form
    603.95/902.48 = 506.75/x
  3. Step 3: Cross multiply
    603.95x = 902.48 × 506.75
  4. Step 4: Simplify right side
    603.95x = 457,331.74
  5. Step 5: Solve for x
    x = 457,331.74/603.95
  6. Step 6: Final answer
    x = 757.23

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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.