Home / 1,143.54-1,577.70-933.36

Finding the Fourth Proportional to 1,143.54, 1,577.70 and 933.36

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Solution

The fourth proportional to 1,143.54, 1,577.70 and 933.36 is: 1,287.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.54 : 1,577.70 = 933.36 : x
  2. Step 2: Convert to fraction form
    1,143.54/1,577.70 = 933.36/x
  3. Step 3: Cross multiply
    1,143.54x = 1,577.70 × 933.36
  4. Step 4: Simplify right side
    1,143.54x = 1,472,562.07
  5. Step 5: Solve for x
    x = 1,472,562.07/1,143.54
  6. Step 6: Final answer
    x = 1,287.72

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1.5x scale

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.