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Finding the Fourth Proportional to 465.95, 643.55 and 367.58

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Solution

The fourth proportional to 465.95, 643.55 and 367.58 is: 507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.95 : 643.55 = 367.58 : x
  2. Step 2: Convert to fraction form
    465.95/643.55 = 367.58/x
  3. Step 3: Cross multiply
    465.95x = 643.55 × 367.58
  4. Step 4: Simplify right side
    465.95x = 236,551.05
  5. Step 5: Solve for x
    x = 236,551.05/465.95
  6. Step 6: Final answer
    x = 507.68

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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.