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Finding the Fourth Proportional to 1,393.58, 1,923.08 and 834.35

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Solution

The fourth proportional to 1,393.58, 1,923.08 and 834.35 is: 1,151.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.58 : 1,923.08 = 834.35 : x
  2. Step 2: Convert to fraction form
    1,393.58/1,923.08 = 834.35/x
  3. Step 3: Cross multiply
    1,393.58x = 1,923.08 × 834.35
  4. Step 4: Simplify right side
    1,393.58x = 1,604,508.01
  5. Step 5: Solve for x
    x = 1,604,508.01/1,393.58
  6. Step 6: Final answer
    x = 1,151.35

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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.