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Finding the Fourth Proportional to 2,334.75, 3,502.13 and 603.38

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Solution

The fourth proportional to 2,334.75, 3,502.13 and 603.38 is: 905.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.75 : 3,502.13 = 603.38 : x
  2. Step 2: Convert to fraction form
    2,334.75/3,502.13 = 603.38/x
  3. Step 3: Cross multiply
    2,334.75x = 3,502.13 × 603.38
  4. Step 4: Simplify right side
    2,334.75x = 2,113,094.67
  5. Step 5: Solve for x
    x = 2,113,094.67/2,334.75
  6. Step 6: Final answer
    x = 905.06

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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.