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Finding the Fourth Proportional to 1,628.84, 2,443.98 and 807.14

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Solution

The fourth proportional to 1,628.84, 2,443.98 and 807.14 is: 1,211.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.84 : 2,443.98 = 807.14 : x
  2. Step 2: Convert to fraction form
    1,628.84/2,443.98 = 807.14/x
  3. Step 3: Cross multiply
    1,628.84x = 2,443.98 × 807.14
  4. Step 4: Simplify right side
    1,628.84x = 1,972,634.02
  5. Step 5: Solve for x
    x = 1,972,634.02/1,628.84
  6. Step 6: Final answer
    x = 1,211.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.