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Finding the Fourth Proportional to 1,437.75, 1,983.85 and 808.31

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Solution

The fourth proportional to 1,437.75, 1,983.85 and 808.31 is: 1,115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.75 : 1,983.85 = 808.31 : x
  2. Step 2: Convert to fraction form
    1,437.75/1,983.85 = 808.31/x
  3. Step 3: Cross multiply
    1,437.75x = 1,983.85 × 808.31
  4. Step 4: Simplify right side
    1,437.75x = 1,603,558.84
  5. Step 5: Solve for x
    x = 1,603,558.84/1,437.75
  6. Step 6: Final answer
    x = 1,115.32

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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.