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Finding the Fourth Proportional to 571.43, 856.13 and 417.02

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Solution

The fourth proportional to 571.43, 856.13 and 417.02 is: 624.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.43 : 856.13 = 417.02 : x
  2. Step 2: Convert to fraction form
    571.43/856.13 = 417.02/x
  3. Step 3: Cross multiply
    571.43x = 856.13 × 417.02
  4. Step 4: Simplify right side
    571.43x = 357,023.33
  5. Step 5: Solve for x
    x = 357,023.33/571.43
  6. Step 6: Final answer
    x = 624.79

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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.