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Finding the Fourth Proportional to 1,423.73, 1,963.99 and 980.86

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Solution

The fourth proportional to 1,423.73, 1,963.99 and 980.86 is: 1,353.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.73 : 1,963.99 = 980.86 : x
  2. Step 2: Convert to fraction form
    1,423.73/1,963.99 = 980.86/x
  3. Step 3: Cross multiply
    1,423.73x = 1,963.99 × 980.86
  4. Step 4: Simplify right side
    1,423.73x = 1,926,384.51
  5. Step 5: Solve for x
    x = 1,926,384.51/1,423.73
  6. Step 6: Final answer
    x = 1,353.06

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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.