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Finding the Fourth Proportional to 899.83, 1,242 and 550.81

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Solution

The fourth proportional to 899.83, 1,242 and 550.81 is: 760.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.83 : 1,242 = 550.81 : x
  2. Step 2: Convert to fraction form
    899.83/1,242 = 550.81/x
  3. Step 3: Cross multiply
    899.83x = 1,242 × 550.81
  4. Step 4: Simplify right side
    899.83x = 684,106.02
  5. Step 5: Solve for x
    x = 684,106.02/899.83
  6. Step 6: Final answer
    x = 760.26

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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.