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Finding the Fourth Proportional to 1,424.55, 1,965.86 and 835.11

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Solution

The fourth proportional to 1,424.55, 1,965.86 and 835.11 is: 1,152.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.55 : 1,965.86 = 835.11 : x
  2. Step 2: Convert to fraction form
    1,424.55/1,965.86 = 835.11/x
  3. Step 3: Cross multiply
    1,424.55x = 1,965.86 × 835.11
  4. Step 4: Simplify right side
    1,424.55x = 1,641,705.17
  5. Step 5: Solve for x
    x = 1,641,705.17/1,424.55
  6. Step 6: Final answer
    x = 1,152.44

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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.