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Finding the Fourth Proportional to 1,482.25, 2,045.49 and 819.07

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Solution

The fourth proportional to 1,482.25, 2,045.49 and 819.07 is: 1,130.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.25 : 2,045.49 = 819.07 : x
  2. Step 2: Convert to fraction form
    1,482.25/2,045.49 = 819.07/x
  3. Step 3: Cross multiply
    1,482.25x = 2,045.49 × 819.07
  4. Step 4: Simplify right side
    1,482.25x = 1,675,399.49
  5. Step 5: Solve for x
    x = 1,675,399.49/1,482.25
  6. Step 6: Final answer
    x = 1,130.31

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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.