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Finding the Fourth Proportional to 520.18, 718.03 and 446.20

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Solution

The fourth proportional to 520.18, 718.03 and 446.20 is: 615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.18 : 718.03 = 446.20 : x
  2. Step 2: Convert to fraction form
    520.18/718.03 = 446.20/x
  3. Step 3: Cross multiply
    520.18x = 718.03 × 446.20
  4. Step 4: Simplify right side
    520.18x = 320,383.75
  5. Step 5: Solve for x
    x = 320,383.75/520.18
  6. Step 6: Final answer
    x = 615.91

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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.