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Finding the Fourth Proportional to 1,423.08, 1,963.70 and 801.96

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Solution

The fourth proportional to 1,423.08, 1,963.70 and 801.96 is: 1,106.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.08 : 1,963.70 = 801.96 : x
  2. Step 2: Convert to fraction form
    1,423.08/1,963.70 = 801.96/x
  3. Step 3: Cross multiply
    1,423.08x = 1,963.70 × 801.96
  4. Step 4: Simplify right side
    1,423.08x = 1,574,808.85
  5. Step 5: Solve for x
    x = 1,574,808.85/1,423.08
  6. Step 6: Final answer
    x = 1,106.62

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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.