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Finding the Fourth Proportional to 512.75, 710.84 and 485.04

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Solution

The fourth proportional to 512.75, 710.84 and 485.04 is: 672.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.75 : 710.84 = 485.04 : x
  2. Step 2: Convert to fraction form
    512.75/710.84 = 485.04/x
  3. Step 3: Cross multiply
    512.75x = 710.84 × 485.04
  4. Step 4: Simplify right side
    512.75x = 344,785.71
  5. Step 5: Solve for x
    x = 344,785.71/512.75
  6. Step 6: Final answer
    x = 672.43

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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.