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Finding the Fourth Proportional to 543, 749.34 and 501.78

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Solution

The fourth proportional to 543, 749.34 and 501.78 is: 692.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    543 : 749.34 = 501.78 : x
  2. Step 2: Convert to fraction form
    543/749.34 = 501.78/x
  3. Step 3: Cross multiply
    543x = 749.34 × 501.78
  4. Step 4: Simplify right side
    543x = 376,003.83
  5. Step 5: Solve for x
    x = 376,003.83/543
  6. Step 6: Final answer
    x = 692.46

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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.