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Finding the Fourth Proportional to 839.89, 1,257.60 and 692.07

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Solution

The fourth proportional to 839.89, 1,257.60 and 692.07 is: 1,036.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.89 : 1,257.60 = 692.07 : x
  2. Step 2: Convert to fraction form
    839.89/1,257.60 = 692.07/x
  3. Step 3: Cross multiply
    839.89x = 1,257.60 × 692.07
  4. Step 4: Simplify right side
    839.89x = 870,347.23
  5. Step 5: Solve for x
    x = 870,347.23/839.89
  6. Step 6: Final answer
    x = 1,036.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.