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Finding the Fourth Proportional to 1,432.82, 1,977 and 835.04

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Solution

The fourth proportional to 1,432.82, 1,977 and 835.04 is: 1,152.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.82 : 1,977 = 835.04 : x
  2. Step 2: Convert to fraction form
    1,432.82/1,977 = 835.04/x
  3. Step 3: Cross multiply
    1,432.82x = 1,977 × 835.04
  4. Step 4: Simplify right side
    1,432.82x = 1,650,874.08
  5. Step 5: Solve for x
    x = 1,650,874.08/1,432.82
  6. Step 6: Final answer
    x = 1,152.19

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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.