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Finding the Fourth Proportional to 1,265.07, 1,745.71 and 705.57

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Solution

The fourth proportional to 1,265.07, 1,745.71 and 705.57 is: 973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.07 : 1,745.71 = 705.57 : x
  2. Step 2: Convert to fraction form
    1,265.07/1,745.71 = 705.57/x
  3. Step 3: Cross multiply
    1,265.07x = 1,745.71 × 705.57
  4. Step 4: Simplify right side
    1,265.07x = 1,231,720.60
  5. Step 5: Solve for x
    x = 1,231,720.60/1,265.07
  6. Step 6: Final answer
    x = 973.64

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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.