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Finding the Fourth Proportional to 465.63, 692.36 and 446.19

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Solution

The fourth proportional to 465.63, 692.36 and 446.19 is: 663.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.63 : 692.36 = 446.19 : x
  2. Step 2: Convert to fraction form
    465.63/692.36 = 446.19/x
  3. Step 3: Cross multiply
    465.63x = 692.36 × 446.19
  4. Step 4: Simplify right side
    465.63x = 308,921.88
  5. Step 5: Solve for x
    x = 308,921.88/465.63
  6. Step 6: Final answer
    x = 663.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.