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Finding the Fourth Proportional to 465.95, 643.55 and 310.43

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Solution

The fourth proportional to 465.95, 643.55 and 310.43 is: 428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.95 : 643.55 = 310.43 : x
  2. Step 2: Convert to fraction form
    465.95/643.55 = 310.43/x
  3. Step 3: Cross multiply
    465.95x = 643.55 × 310.43
  4. Step 4: Simplify right side
    465.95x = 199,772.46
  5. Step 5: Solve for x
    x = 199,772.46/465.95
  6. Step 6: Final answer
    x = 428.75

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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.