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Finding the Fourth Proportional to 1,435.13, 1,980.36 and 805.57

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Solution

The fourth proportional to 1,435.13, 1,980.36 and 805.57 is: 1,111.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.13 : 1,980.36 = 805.57 : x
  2. Step 2: Convert to fraction form
    1,435.13/1,980.36 = 805.57/x
  3. Step 3: Cross multiply
    1,435.13x = 1,980.36 × 805.57
  4. Step 4: Simplify right side
    1,435.13x = 1,595,318.61
  5. Step 5: Solve for x
    x = 1,595,318.61/1,435.13
  6. Step 6: Final answer
    x = 1,111.62

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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.