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Finding the Fourth Proportional to 434.45, 598.04 and 379.10

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Solution

The fourth proportional to 434.45, 598.04 and 379.10 is: 521.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.45 : 598.04 = 379.10 : x
  2. Step 2: Convert to fraction form
    434.45/598.04 = 379.10/x
  3. Step 3: Cross multiply
    434.45x = 598.04 × 379.10
  4. Step 4: Simplify right side
    434.45x = 226,717.99
  5. Step 5: Solve for x
    x = 226,717.99/434.45
  6. Step 6: Final answer
    x = 521.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.