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Finding the Fourth Proportional to 463.94, 692.33 and 415.34

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Solution

The fourth proportional to 463.94, 692.33 and 415.34 is: 619.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.94 : 692.33 = 415.34 : x
  2. Step 2: Convert to fraction form
    463.94/692.33 = 415.34/x
  3. Step 3: Cross multiply
    463.94x = 692.33 × 415.34
  4. Step 4: Simplify right side
    463.94x = 287,552.34
  5. Step 5: Solve for x
    x = 287,552.34/463.94
  6. Step 6: Final answer
    x = 619.81

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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.