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Finding the Fourth Proportional to 448.78, 620.14 and 405.04

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Solution

The fourth proportional to 448.78, 620.14 and 405.04 is: 559.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.78 : 620.14 = 405.04 : x
  2. Step 2: Convert to fraction form
    448.78/620.14 = 405.04/x
  3. Step 3: Cross multiply
    448.78x = 620.14 × 405.04
  4. Step 4: Simplify right side
    448.78x = 251,181.51
  5. Step 5: Solve for x
    x = 251,181.51/448.78
  6. Step 6: Final answer
    x = 559.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.