Home / 1,133.07-1,564.57-923.28

Finding the Fourth Proportional to 1,133.07, 1,564.57 and 923.28

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Solution

The fourth proportional to 1,133.07, 1,564.57 and 923.28 is: 1,274.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.07 : 1,564.57 = 923.28 : x
  2. Step 2: Convert to fraction form
    1,133.07/1,564.57 = 923.28/x
  3. Step 3: Cross multiply
    1,133.07x = 1,564.57 × 923.28
  4. Step 4: Simplify right side
    1,133.07x = 1,444,531.57
  5. Step 5: Solve for x
    x = 1,444,531.57/1,133.07
  6. Step 6: Final answer
    x = 1,274.88

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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.