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Finding the Fourth Proportional to 570.24, 851.55 and 447.12

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Solution

The fourth proportional to 570.24, 851.55 and 447.12 is: 667.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.24 : 851.55 = 447.12 : x
  2. Step 2: Convert to fraction form
    570.24/851.55 = 447.12/x
  3. Step 3: Cross multiply
    570.24x = 851.55 × 447.12
  4. Step 4: Simplify right side
    570.24x = 380,745.04
  5. Step 5: Solve for x
    x = 380,745.04/570.24
  6. Step 6: Final answer
    x = 667.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.