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Finding the Fourth Proportional to 904.01, 1,350.08 and 779.63

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Solution

The fourth proportional to 904.01, 1,350.08 and 779.63 is: 1,164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.01 : 1,350.08 = 779.63 : x
  2. Step 2: Convert to fraction form
    904.01/1,350.08 = 779.63/x
  3. Step 3: Cross multiply
    904.01x = 1,350.08 × 779.63
  4. Step 4: Simplify right side
    904.01x = 1,052,562.87
  5. Step 5: Solve for x
    x = 1,052,562.87/904.01
  6. Step 6: Final answer
    x = 1,164.33

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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.