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Finding the Fourth Proportional to 570.20, 856.10 and 448.60

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Solution

The fourth proportional to 570.20, 856.10 and 448.60 is: 673.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.20 : 856.10 = 448.60 : x
  2. Step 2: Convert to fraction form
    570.20/856.10 = 448.60/x
  3. Step 3: Cross multiply
    570.20x = 856.10 × 448.60
  4. Step 4: Simplify right side
    570.20x = 384,046.46
  5. Step 5: Solve for x
    x = 384,046.46/570.20
  6. Step 6: Final answer
    x = 673.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.