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Finding the Fourth Proportional to 1,442.67, 1,989.93 and 945.73

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Solution

The fourth proportional to 1,442.67, 1,989.93 and 945.73 is: 1,304.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.67 : 1,989.93 = 945.73 : x
  2. Step 2: Convert to fraction form
    1,442.67/1,989.93 = 945.73/x
  3. Step 3: Cross multiply
    1,442.67x = 1,989.93 × 945.73
  4. Step 4: Simplify right side
    1,442.67x = 1,881,936.50
  5. Step 5: Solve for x
    x = 1,881,936.50/1,442.67
  6. Step 6: Final answer
    x = 1,304.48

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1.5x scale

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.