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Finding the Fourth Proportional to 492.40, 742.16 and 470.44

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Solution

The fourth proportional to 492.40, 742.16 and 470.44 is: 709.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.40 : 742.16 = 470.44 : x
  2. Step 2: Convert to fraction form
    492.40/742.16 = 470.44/x
  3. Step 3: Cross multiply
    492.40x = 742.16 × 470.44
  4. Step 4: Simplify right side
    492.40x = 349,141.75
  5. Step 5: Solve for x
    x = 349,141.75/492.40
  6. Step 6: Final answer
    x = 709.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.