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Finding the Fourth Proportional to 1,365.14, 1,881.68 and 922.88

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Solution

The fourth proportional to 1,365.14, 1,881.68 and 922.88 is: 1,272.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.14 : 1,881.68 = 922.88 : x
  2. Step 2: Convert to fraction form
    1,365.14/1,881.68 = 922.88/x
  3. Step 3: Cross multiply
    1,365.14x = 1,881.68 × 922.88
  4. Step 4: Simplify right side
    1,365.14x = 1,736,564.84
  5. Step 5: Solve for x
    x = 1,736,564.84/1,365.14
  6. Step 6: Final answer
    x = 1,272.08

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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.