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Finding the Fourth Proportional to 1,268.23, 1,904.07 and 877.30

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Solution

The fourth proportional to 1,268.23, 1,904.07 and 877.30 is: 1,317.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.23 : 1,904.07 = 877.30 : x
  2. Step 2: Convert to fraction form
    1,268.23/1,904.07 = 877.30/x
  3. Step 3: Cross multiply
    1,268.23x = 1,904.07 × 877.30
  4. Step 4: Simplify right side
    1,268.23x = 1,670,440.61
  5. Step 5: Solve for x
    x = 1,670,440.61/1,268.23
  6. Step 6: Final answer
    x = 1,317.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.