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Finding the Fourth Proportional to 448.48, 617.62 and 403.84

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Solution

The fourth proportional to 448.48, 617.62 and 403.84 is: 556.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.48 : 617.62 = 403.84 : x
  2. Step 2: Convert to fraction form
    448.48/617.62 = 403.84/x
  3. Step 3: Cross multiply
    448.48x = 617.62 × 403.84
  4. Step 4: Simplify right side
    448.48x = 249,419.66
  5. Step 5: Solve for x
    x = 249,419.66/448.48
  6. Step 6: Final answer
    x = 556.14

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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.