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Finding the Fourth Proportional to 1,265.08, 1,745.74 and 705.59

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Solution

The fourth proportional to 1,265.08, 1,745.74 and 705.59 is: 973.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.08 : 1,745.74 = 705.59 : x
  2. Step 2: Convert to fraction form
    1,265.08/1,745.74 = 705.59/x
  3. Step 3: Cross multiply
    1,265.08x = 1,745.74 × 705.59
  4. Step 4: Simplify right side
    1,265.08x = 1,231,773.16
  5. Step 5: Solve for x
    x = 1,231,773.16/1,265.08
  6. Step 6: Final answer
    x = 973.68

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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.