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Finding the Fourth Proportional to 1,649.78, 2,473.15 and 609.54

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Solution

The fourth proportional to 1,649.78, 2,473.15 and 609.54 is: 913.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.78 : 2,473.15 = 609.54 : x
  2. Step 2: Convert to fraction form
    1,649.78/2,473.15 = 609.54/x
  3. Step 3: Cross multiply
    1,649.78x = 2,473.15 × 609.54
  4. Step 4: Simplify right side
    1,649.78x = 1,507,483.85
  5. Step 5: Solve for x
    x = 1,507,483.85/1,649.78
  6. Step 6: Final answer
    x = 913.75

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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.