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Finding the Fourth Proportional to 501.69, 692.25 and 344.45

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Solution

The fourth proportional to 501.69, 692.25 and 344.45 is: 475.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.69 : 692.25 = 344.45 : x
  2. Step 2: Convert to fraction form
    501.69/692.25 = 344.45/x
  3. Step 3: Cross multiply
    501.69x = 692.25 × 344.45
  4. Step 4: Simplify right side
    501.69x = 238,445.95
  5. Step 5: Solve for x
    x = 238,445.95/501.69
  6. Step 6: Final answer
    x = 475.28

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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.