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Finding the Fourth Proportional to 571.48, 856.50 and 434.11

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Solution

The fourth proportional to 571.48, 856.50 and 434.11 is: 650.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.48 : 856.50 = 434.11 : x
  2. Step 2: Convert to fraction form
    571.48/856.50 = 434.11/x
  3. Step 3: Cross multiply
    571.48x = 856.50 × 434.11
  4. Step 4: Simplify right side
    571.48x = 371,815.22
  5. Step 5: Solve for x
    x = 371,815.22/571.48
  6. Step 6: Final answer
    x = 650.62

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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.