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Finding the Fourth Proportional to 520.94, 718.64 and 311.05

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Solution

The fourth proportional to 520.94, 718.64 and 311.05 is: 429.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.94 : 718.64 = 311.05 : x
  2. Step 2: Convert to fraction form
    520.94/718.64 = 311.05/x
  3. Step 3: Cross multiply
    520.94x = 718.64 × 311.05
  4. Step 4: Simplify right side
    520.94x = 223,531.42
  5. Step 5: Solve for x
    x = 223,531.42/520.94
  6. Step 6: Final answer
    x = 429.09

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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.