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Finding the Fourth Proportional to 465.75, 643.01 and 310.77

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Solution

The fourth proportional to 465.75, 643.01 and 310.77 is: 429.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.75 : 643.01 = 310.77 : x
  2. Step 2: Convert to fraction form
    465.75/643.01 = 310.77/x
  3. Step 3: Cross multiply
    465.75x = 643.01 × 310.77
  4. Step 4: Simplify right side
    465.75x = 199,826.66
  5. Step 5: Solve for x
    x = 199,826.66/465.75
  6. Step 6: Final answer
    x = 429.04

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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.