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Finding the Fourth Proportional to 1,437.79, 1,984.97 and 940.93

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Solution

The fourth proportional to 1,437.79, 1,984.97 and 940.93 is: 1,299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.79 : 1,984.97 = 940.93 : x
  2. Step 2: Convert to fraction form
    1,437.79/1,984.97 = 940.93/x
  3. Step 3: Cross multiply
    1,437.79x = 1,984.97 × 940.93
  4. Step 4: Simplify right side
    1,437.79x = 1,867,717.82
  5. Step 5: Solve for x
    x = 1,867,717.82/1,437.79
  6. Step 6: Final answer
    x = 1,299.02

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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.