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Finding the Fourth Proportional to 779.13, 1,163.64 and 705.86

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Solution

The fourth proportional to 779.13, 1,163.64 and 705.86 is: 1,054.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.13 : 1,163.64 = 705.86 : x
  2. Step 2: Convert to fraction form
    779.13/1,163.64 = 705.86/x
  3. Step 3: Cross multiply
    779.13x = 1,163.64 × 705.86
  4. Step 4: Simplify right side
    779.13x = 821,368.12
  5. Step 5: Solve for x
    x = 821,368.12/779.13
  6. Step 6: Final answer
    x = 1,054.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.