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Finding the Fourth Proportional to 520.76, 715.35 and 494.43

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Solution

The fourth proportional to 520.76, 715.35 and 494.43 is: 679.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.76 : 715.35 = 494.43 : x
  2. Step 2: Convert to fraction form
    520.76/715.35 = 494.43/x
  3. Step 3: Cross multiply
    520.76x = 715.35 × 494.43
  4. Step 4: Simplify right side
    520.76x = 353,690.50
  5. Step 5: Solve for x
    x = 353,690.50/520.76
  6. Step 6: Final answer
    x = 679.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.