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Finding the Fourth Proportional to 1,366.07, 1,885.17 and 745.07

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Solution

The fourth proportional to 1,366.07, 1,885.17 and 745.07 is: 1,028.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.07 : 1,885.17 = 745.07 : x
  2. Step 2: Convert to fraction form
    1,366.07/1,885.17 = 745.07/x
  3. Step 3: Cross multiply
    1,366.07x = 1,885.17 × 745.07
  4. Step 4: Simplify right side
    1,366.07x = 1,404,574.19
  5. Step 5: Solve for x
    x = 1,404,574.19/1,366.07
  6. Step 6: Final answer
    x = 1,028.19

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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.