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Finding the Fourth Proportional to 1,382.07, 1,907.25 and 761.07

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Solution

The fourth proportional to 1,382.07, 1,907.25 and 761.07 is: 1,050.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.07 : 1,907.25 = 761.07 : x
  2. Step 2: Convert to fraction form
    1,382.07/1,907.25 = 761.07/x
  3. Step 3: Cross multiply
    1,382.07x = 1,907.25 × 761.07
  4. Step 4: Simplify right side
    1,382.07x = 1,451,550.76
  5. Step 5: Solve for x
    x = 1,451,550.76/1,382.07
  6. Step 6: Final answer
    x = 1,050.27

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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.