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Finding the Fourth Proportional to 520.05, 718.61 and 494.74

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Solution

The fourth proportional to 520.05, 718.61 and 494.74 is: 683.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.05 : 718.61 = 494.74 : x
  2. Step 2: Convert to fraction form
    520.05/718.61 = 494.74/x
  3. Step 3: Cross multiply
    520.05x = 718.61 × 494.74
  4. Step 4: Simplify right side
    520.05x = 355,522.76
  5. Step 5: Solve for x
    x = 355,522.76/520.05
  6. Step 6: Final answer
    x = 683.64

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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.