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Finding the Fourth Proportional to 1,435.19, 1,980.58 and 805.85

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Solution

The fourth proportional to 1,435.19, 1,980.58 and 805.85 is: 1,112.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.19 : 1,980.58 = 805.85 : x
  2. Step 2: Convert to fraction form
    1,435.19/1,980.58 = 805.85/x
  3. Step 3: Cross multiply
    1,435.19x = 1,980.58 × 805.85
  4. Step 4: Simplify right side
    1,435.19x = 1,596,050.39
  5. Step 5: Solve for x
    x = 1,596,050.39/1,435.19
  6. Step 6: Final answer
    x = 1,112.08

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1.5x scale

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.