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Finding the Fourth Proportional to 1,649.99, 2,277.02 and 903.98

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Solution

The fourth proportional to 1,649.99, 2,277.02 and 903.98 is: 1,247.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.99 : 2,277.02 = 903.98 : x
  2. Step 2: Convert to fraction form
    1,649.99/2,277.02 = 903.98/x
  3. Step 3: Cross multiply
    1,649.99x = 2,277.02 × 903.98
  4. Step 4: Simplify right side
    1,649.99x = 2,058,381.71
  5. Step 5: Solve for x
    x = 2,058,381.71/1,649.99
  6. Step 6: Final answer
    x = 1,247.51

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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.