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Finding the Fourth Proportional to 482.96, 722.62 and 405.91

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Solution

The fourth proportional to 482.96, 722.62 and 405.91 is: 607.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.96 : 722.62 = 405.91 : x
  2. Step 2: Convert to fraction form
    482.96/722.62 = 405.91/x
  3. Step 3: Cross multiply
    482.96x = 722.62 × 405.91
  4. Step 4: Simplify right side
    482.96x = 293,320.09
  5. Step 5: Solve for x
    x = 293,320.09/482.96
  6. Step 6: Final answer
    x = 607.34

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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.