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Finding the Fourth Proportional to 2,010.78, 3,015.90 and 549.99

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Solution

The fourth proportional to 2,010.78, 3,015.90 and 549.99 is: 824.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.78 : 3,015.90 = 549.99 : x
  2. Step 2: Convert to fraction form
    2,010.78/3,015.90 = 549.99/x
  3. Step 3: Cross multiply
    2,010.78x = 3,015.90 × 549.99
  4. Step 4: Simplify right side
    2,010.78x = 1,658,714.84
  5. Step 5: Solve for x
    x = 1,658,714.84/2,010.78
  6. Step 6: Final answer
    x = 824.91

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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.