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Finding the Fourth Proportional to 1,423.29, 1,964.13 and 793.81

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Solution

The fourth proportional to 1,423.29, 1,964.13 and 793.81 is: 1,095.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.29 : 1,964.13 = 793.81 : x
  2. Step 2: Convert to fraction form
    1,423.29/1,964.13 = 793.81/x
  3. Step 3: Cross multiply
    1,423.29x = 1,964.13 × 793.81
  4. Step 4: Simplify right side
    1,423.29x = 1,559,132.25
  5. Step 5: Solve for x
    x = 1,559,132.25/1,423.29
  6. Step 6: Final answer
    x = 1,095.45

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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.