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Finding the Fourth Proportional to 1,423.65, 1,964.88 and 834.51

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Solution

The fourth proportional to 1,423.65, 1,964.88 and 834.51 is: 1,151.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.65 : 1,964.88 = 834.51 : x
  2. Step 2: Convert to fraction form
    1,423.65/1,964.88 = 834.51/x
  3. Step 3: Cross multiply
    1,423.65x = 1,964.88 × 834.51
  4. Step 4: Simplify right side
    1,423.65x = 1,639,712.01
  5. Step 5: Solve for x
    x = 1,639,712.01/1,423.65
  6. Step 6: Final answer
    x = 1,151.77

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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.