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Finding the Fourth Proportional to 571.34, 856.74 and 456.14

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Solution

The fourth proportional to 571.34, 856.74 and 456.14 is: 683.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.34 : 856.74 = 456.14 : x
  2. Step 2: Convert to fraction form
    571.34/856.74 = 456.14/x
  3. Step 3: Cross multiply
    571.34x = 856.74 × 456.14
  4. Step 4: Simplify right side
    571.34x = 390,793.38
  5. Step 5: Solve for x
    x = 390,793.38/571.34
  6. Step 6: Final answer
    x = 683.99

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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.