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Finding the Fourth Proportional to 518.40, 715.43 and 321.98

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Solution

The fourth proportional to 518.40, 715.43 and 321.98 is: 444.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.40 : 715.43 = 321.98 : x
  2. Step 2: Convert to fraction form
    518.40/715.43 = 321.98/x
  3. Step 3: Cross multiply
    518.40x = 715.43 × 321.98
  4. Step 4: Simplify right side
    518.40x = 230,351.38
  5. Step 5: Solve for x
    x = 230,351.38/518.40
  6. Step 6: Final answer
    x = 444.35

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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.