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Finding the Fourth Proportional to 511.08, 708.24 and 480.30

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Solution

The fourth proportional to 511.08, 708.24 and 480.30 is: 665.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.08 : 708.24 = 480.30 : x
  2. Step 2: Convert to fraction form
    511.08/708.24 = 480.30/x
  3. Step 3: Cross multiply
    511.08x = 708.24 × 480.30
  4. Step 4: Simplify right side
    511.08x = 340,167.67
  5. Step 5: Solve for x
    x = 340,167.67/511.08
  6. Step 6: Final answer
    x = 665.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.