Home / 1,025.41-1,538.67-477.46

Finding the Fourth Proportional to 1,025.41, 1,538.67 and 477.46

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Solution

The fourth proportional to 1,025.41, 1,538.67 and 477.46 is: 716.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.41 : 1,538.67 = 477.46 : x
  2. Step 2: Convert to fraction form
    1,025.41/1,538.67 = 477.46/x
  3. Step 3: Cross multiply
    1,025.41x = 1,538.67 × 477.46
  4. Step 4: Simplify right side
    1,025.41x = 734,653.38
  5. Step 5: Solve for x
    x = 734,653.38/1,025.41
  6. Step 6: Final answer
    x = 716.45

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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.