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Finding the Fourth Proportional to 1,482.54, 2,045.76 and 819.28

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Solution

The fourth proportional to 1,482.54, 2,045.76 and 819.28 is: 1,130.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.54 : 2,045.76 = 819.28 : x
  2. Step 2: Convert to fraction form
    1,482.54/2,045.76 = 819.28/x
  3. Step 3: Cross multiply
    1,482.54x = 2,045.76 × 819.28
  4. Step 4: Simplify right side
    1,482.54x = 1,676,055.37
  5. Step 5: Solve for x
    x = 1,676,055.37/1,482.54
  6. Step 6: Final answer
    x = 1,130.53

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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.