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Finding the Fourth Proportional to 742.84, 1,107.68 and 692.58

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Solution

The fourth proportional to 742.84, 1,107.68 and 692.58 is: 1,032.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.84 : 1,107.68 = 692.58 : x
  2. Step 2: Convert to fraction form
    742.84/1,107.68 = 692.58/x
  3. Step 3: Cross multiply
    742.84x = 1,107.68 × 692.58
  4. Step 4: Simplify right side
    742.84x = 767,157.01
  5. Step 5: Solve for x
    x = 767,157.01/742.84
  6. Step 6: Final answer
    x = 1,032.74

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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.