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Finding the Fourth Proportional to 1,649.45, 2,474.16 and 661.99

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Solution

The fourth proportional to 1,649.45, 2,474.16 and 661.99 is: 992.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.45 : 2,474.16 = 661.99 : x
  2. Step 2: Convert to fraction form
    1,649.45/2,474.16 = 661.99/x
  3. Step 3: Cross multiply
    1,649.45x = 2,474.16 × 661.99
  4. Step 4: Simplify right side
    1,649.45x = 1,637,869.18
  5. Step 5: Solve for x
    x = 1,637,869.18/1,649.45
  6. Step 6: Final answer
    x = 992.98

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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.