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Finding the Fourth Proportional to 465.86, 643.77 and 387.09

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Solution

The fourth proportional to 465.86, 643.77 and 387.09 is: 534.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.86 : 643.77 = 387.09 : x
  2. Step 2: Convert to fraction form
    465.86/643.77 = 387.09/x
  3. Step 3: Cross multiply
    465.86x = 643.77 × 387.09
  4. Step 4: Simplify right side
    465.86x = 249,196.93
  5. Step 5: Solve for x
    x = 249,196.93/465.86
  6. Step 6: Final answer
    x = 534.92

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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.