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Finding the Fourth Proportional to 1,649.89, 2,277.08 and 1,464

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Solution

The fourth proportional to 1,649.89, 2,277.08 and 1,464 is: 2,020.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.89 : 2,277.08 = 1,464 : x
  2. Step 2: Convert to fraction form
    1,649.89/2,277.08 = 1,464/x
  3. Step 3: Cross multiply
    1,649.89x = 2,277.08 × 1,464
  4. Step 4: Simplify right side
    1,649.89x = 3,333,645.12
  5. Step 5: Solve for x
    x = 3,333,645.12/1,649.89
  6. Step 6: Final answer
    x = 2,020.53

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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.