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Finding the Fourth Proportional to 733.10, 1,009.38 and 692.49

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Solution

The fourth proportional to 733.10, 1,009.38 and 692.49 is: 953.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.10 : 1,009.38 = 692.49 : x
  2. Step 2: Convert to fraction form
    733.10/1,009.38 = 692.49/x
  3. Step 3: Cross multiply
    733.10x = 1,009.38 × 692.49
  4. Step 4: Simplify right side
    733.10x = 698,985.56
  5. Step 5: Solve for x
    x = 698,985.56/733.10
  6. Step 6: Final answer
    x = 953.47

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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.