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Finding the Fourth Proportional to 1,133.03, 1,698.73 and 556.31

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Solution

The fourth proportional to 1,133.03, 1,698.73 and 556.31 is: 834.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.03 : 1,698.73 = 556.31 : x
  2. Step 2: Convert to fraction form
    1,133.03/1,698.73 = 556.31/x
  3. Step 3: Cross multiply
    1,133.03x = 1,698.73 × 556.31
  4. Step 4: Simplify right side
    1,133.03x = 945,020.49
  5. Step 5: Solve for x
    x = 945,020.49/1,133.03
  6. Step 6: Final answer
    x = 834.06

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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.