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Finding the Fourth Proportional to 492.40, 735.44 and 405.24

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Solution

The fourth proportional to 492.40, 735.44 and 405.24 is: 605.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.40 : 735.44 = 405.24 : x
  2. Step 2: Convert to fraction form
    492.40/735.44 = 405.24/x
  3. Step 3: Cross multiply
    492.40x = 735.44 × 405.24
  4. Step 4: Simplify right side
    492.40x = 298,029.71
  5. Step 5: Solve for x
    x = 298,029.71/492.40
  6. Step 6: Final answer
    x = 605.26

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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.