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Finding the Fourth Proportional to 448.04, 617.78 and 416.24

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Solution

The fourth proportional to 448.04, 617.78 and 416.24 is: 573.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.04 : 617.78 = 416.24 : x
  2. Step 2: Convert to fraction form
    448.04/617.78 = 416.24/x
  3. Step 3: Cross multiply
    448.04x = 617.78 × 416.24
  4. Step 4: Simplify right side
    448.04x = 257,144.75
  5. Step 5: Solve for x
    x = 257,144.75/448.04
  6. Step 6: Final answer
    x = 573.93

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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.