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Finding the Fourth Proportional to 468.51, 643.08 and 448.46

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Solution

The fourth proportional to 468.51, 643.08 and 448.46 is: 615.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.51 : 643.08 = 448.46 : x
  2. Step 2: Convert to fraction form
    468.51/643.08 = 448.46/x
  3. Step 3: Cross multiply
    468.51x = 643.08 × 448.46
  4. Step 4: Simplify right side
    468.51x = 288,395.66
  5. Step 5: Solve for x
    x = 288,395.66/468.51
  6. Step 6: Final answer
    x = 615.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.