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Finding the Fourth Proportional to 1,424.46, 1,965.70 and 835.06

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Solution

The fourth proportional to 1,424.46, 1,965.70 and 835.06 is: 1,152.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.46 : 1,965.70 = 835.06 : x
  2. Step 2: Convert to fraction form
    1,424.46/1,965.70 = 835.06/x
  3. Step 3: Cross multiply
    1,424.46x = 1,965.70 × 835.06
  4. Step 4: Simplify right side
    1,424.46x = 1,641,477.44
  5. Step 5: Solve for x
    x = 1,641,477.44/1,424.46
  6. Step 6: Final answer
    x = 1,152.35

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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.