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Finding the Fourth Proportional to 465.81, 643.71 and 377.11

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Solution

The fourth proportional to 465.81, 643.71 and 377.11 is: 521.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.81 : 643.71 = 377.11 : x
  2. Step 2: Convert to fraction form
    465.81/643.71 = 377.11/x
  3. Step 3: Cross multiply
    465.81x = 643.71 × 377.11
  4. Step 4: Simplify right side
    465.81x = 242,749.48
  5. Step 5: Solve for x
    x = 242,749.48/465.81
  6. Step 6: Final answer
    x = 521.14

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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.