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Finding the Fourth Proportional to 520.39, 718.14 and 299.26

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Solution

The fourth proportional to 520.39, 718.14 and 299.26 is: 412.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.39 : 718.14 = 299.26 : x
  2. Step 2: Convert to fraction form
    520.39/718.14 = 299.26/x
  3. Step 3: Cross multiply
    520.39x = 718.14 × 299.26
  4. Step 4: Simplify right side
    520.39x = 214,910.58
  5. Step 5: Solve for x
    x = 214,910.58/520.39
  6. Step 6: Final answer
    x = 412.98

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Double scale
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1.5x scale

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.