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Finding the Fourth Proportional to 746.62, 1,114.47 and 692.41

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Solution

The fourth proportional to 746.62, 1,114.47 and 692.41 is: 1,033.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.62 : 1,114.47 = 692.41 : x
  2. Step 2: Convert to fraction form
    746.62/1,114.47 = 692.41/x
  3. Step 3: Cross multiply
    746.62x = 1,114.47 × 692.41
  4. Step 4: Simplify right side
    746.62x = 771,670.17
  5. Step 5: Solve for x
    x = 771,670.17/746.62
  6. Step 6: Final answer
    x = 1,033.55

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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.