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Finding the Fourth Proportional to 1,435.08, 1,980.65 and 805.88

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Solution

The fourth proportional to 1,435.08, 1,980.65 and 805.88 is: 1,112.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.08 : 1,980.65 = 805.88 : x
  2. Step 2: Convert to fraction form
    1,435.08/1,980.65 = 805.88/x
  3. Step 3: Cross multiply
    1,435.08x = 1,980.65 × 805.88
  4. Step 4: Simplify right side
    1,435.08x = 1,596,152.29
  5. Step 5: Solve for x
    x = 1,596,152.29/1,435.08
  6. Step 6: Final answer
    x = 1,112.24

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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.