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Finding the Fourth Proportional to 571.37, 856.35 and 278.63

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Solution

The fourth proportional to 571.37, 856.35 and 278.63 is: 417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.37 : 856.35 = 278.63 : x
  2. Step 2: Convert to fraction form
    571.37/856.35 = 278.63/x
  3. Step 3: Cross multiply
    571.37x = 856.35 × 278.63
  4. Step 4: Simplify right side
    571.37x = 238,603.73
  5. Step 5: Solve for x
    x = 238,603.73/571.37
  6. Step 6: Final answer
    x = 417.60

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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.