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Finding the Fourth Proportional to 1,982.93, 2,974.55 and 522.06

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Solution

The fourth proportional to 1,982.93, 2,974.55 and 522.06 is: 783.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.93 : 2,974.55 = 522.06 : x
  2. Step 2: Convert to fraction form
    1,982.93/2,974.55 = 522.06/x
  3. Step 3: Cross multiply
    1,982.93x = 2,974.55 × 522.06
  4. Step 4: Simplify right side
    1,982.93x = 1,552,901.01
  5. Step 5: Solve for x
    x = 1,552,901.01/1,982.93
  6. Step 6: Final answer
    x = 783.13

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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.