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Finding the Fourth Proportional to 1,556.40, 2,333.73 and 774.81

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Solution

The fourth proportional to 1,556.40, 2,333.73 and 774.81 is: 1,161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.40 : 2,333.73 = 774.81 : x
  2. Step 2: Convert to fraction form
    1,556.40/2,333.73 = 774.81/x
  3. Step 3: Cross multiply
    1,556.40x = 2,333.73 × 774.81
  4. Step 4: Simplify right side
    1,556.40x = 1,808,197.34
  5. Step 5: Solve for x
    x = 1,808,197.34/1,556.40
  6. Step 6: Final answer
    x = 1,161.78

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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.