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Finding the Fourth Proportional to 779.42, 1,074.69 and 582.58

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Solution

The fourth proportional to 779.42, 1,074.69 and 582.58 is: 803.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.42 : 1,074.69 = 582.58 : x
  2. Step 2: Convert to fraction form
    779.42/1,074.69 = 582.58/x
  3. Step 3: Cross multiply
    779.42x = 1,074.69 × 582.58
  4. Step 4: Simplify right side
    779.42x = 626,092.90
  5. Step 5: Solve for x
    x = 626,092.90/779.42
  6. Step 6: Final answer
    x = 803.28

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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.