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Finding the Fourth Proportional to 985.18, 1,357.59 and 922

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Solution

The fourth proportional to 985.18, 1,357.59 and 922 is: 1,270.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.18 : 1,357.59 = 922 : x
  2. Step 2: Convert to fraction form
    985.18/1,357.59 = 922/x
  3. Step 3: Cross multiply
    985.18x = 1,357.59 × 922
  4. Step 4: Simplify right side
    985.18x = 1,251,697.98
  5. Step 5: Solve for x
    x = 1,251,697.98/985.18
  6. Step 6: Final answer
    x = 1,270.53

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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.