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Finding the Fourth Proportional to 571.46, 856.04 and 417.71

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Solution

The fourth proportional to 571.46, 856.04 and 417.71 is: 625.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.46 : 856.04 = 417.71 : x
  2. Step 2: Convert to fraction form
    571.46/856.04 = 417.71/x
  3. Step 3: Cross multiply
    571.46x = 856.04 × 417.71
  4. Step 4: Simplify right side
    571.46x = 357,570.10
  5. Step 5: Solve for x
    x = 357,570.10/571.46
  6. Step 6: Final answer
    x = 625.72

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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.