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Finding the Fourth Proportional to 570.83, 856.25 and 408.83

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Solution

The fourth proportional to 570.83, 856.25 and 408.83 is: 613.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.83 : 856.25 = 408.83 : x
  2. Step 2: Convert to fraction form
    570.83/856.25 = 408.83/x
  3. Step 3: Cross multiply
    570.83x = 856.25 × 408.83
  4. Step 4: Simplify right side
    570.83x = 350,060.69
  5. Step 5: Solve for x
    x = 350,060.69/570.83
  6. Step 6: Final answer
    x = 613.25

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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.