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Finding the Fourth Proportional to 520.78, 718.50 and 334.18

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Solution

The fourth proportional to 520.78, 718.50 and 334.18 is: 461.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.78 : 718.50 = 334.18 : x
  2. Step 2: Convert to fraction form
    520.78/718.50 = 334.18/x
  3. Step 3: Cross multiply
    520.78x = 718.50 × 334.18
  4. Step 4: Simplify right side
    520.78x = 240,108.33
  5. Step 5: Solve for x
    x = 240,108.33/520.78
  6. Step 6: Final answer
    x = 461.06

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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.