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Finding the Fourth Proportional to 1,669.13, 2,303.39 and 933.13

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Solution

The fourth proportional to 1,669.13, 2,303.39 and 933.13 is: 1,287.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.13 : 2,303.39 = 933.13 : x
  2. Step 2: Convert to fraction form
    1,669.13/2,303.39 = 933.13/x
  3. Step 3: Cross multiply
    1,669.13x = 2,303.39 × 933.13
  4. Step 4: Simplify right side
    1,669.13x = 2,149,362.31
  5. Step 5: Solve for x
    x = 2,149,362.31/1,669.13
  6. Step 6: Final answer
    x = 1,287.71

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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.