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Finding the Fourth Proportional to 779.81, 1,076.21 and 469.25

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Solution

The fourth proportional to 779.81, 1,076.21 and 469.25 is: 647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.81 : 1,076.21 = 469.25 : x
  2. Step 2: Convert to fraction form
    779.81/1,076.21 = 469.25/x
  3. Step 3: Cross multiply
    779.81x = 1,076.21 × 469.25
  4. Step 4: Simplify right side
    779.81x = 505,009.20
  5. Step 5: Solve for x
    x = 505,009.20/779.81
  6. Step 6: Final answer
    x = 647.61

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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.