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Finding the Fourth Proportional to 1,333.96, 1,840.97 and 774.60

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Solution

The fourth proportional to 1,333.96, 1,840.97 and 774.60 is: 1,069.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.96 : 1,840.97 = 774.60 : x
  2. Step 2: Convert to fraction form
    1,333.96/1,840.97 = 774.60/x
  3. Step 3: Cross multiply
    1,333.96x = 1,840.97 × 774.60
  4. Step 4: Simplify right side
    1,333.96x = 1,426,011.49
  5. Step 5: Solve for x
    x = 1,426,011.49/1,333.96
  6. Step 6: Final answer
    x = 1,069.01

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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.