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Finding the Fourth Proportional to 573.81, 856.41 and 492.81

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Solution

The fourth proportional to 573.81, 856.41 and 492.81 is: 735.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.81 : 856.41 = 492.81 : x
  2. Step 2: Convert to fraction form
    573.81/856.41 = 492.81/x
  3. Step 3: Cross multiply
    573.81x = 856.41 × 492.81
  4. Step 4: Simplify right side
    573.81x = 422,047.41
  5. Step 5: Solve for x
    x = 422,047.41/573.81
  6. Step 6: Final answer
    x = 735.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.