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Finding the Fourth Proportional to 458.36, 690.69 and 378.98

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Solution

The fourth proportional to 458.36, 690.69 and 378.98 is: 571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.36 : 690.69 = 378.98 : x
  2. Step 2: Convert to fraction form
    458.36/690.69 = 378.98/x
  3. Step 3: Cross multiply
    458.36x = 690.69 × 378.98
  4. Step 4: Simplify right side
    458.36x = 261,755.80
  5. Step 5: Solve for x
    x = 261,755.80/458.36
  6. Step 6: Final answer
    x = 571.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.