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Finding the Fourth Proportional to 1,577.84, 2,365.49 and 653.82

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Solution

The fourth proportional to 1,577.84, 2,365.49 and 653.82 is: 980.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.84 : 2,365.49 = 653.82 : x
  2. Step 2: Convert to fraction form
    1,577.84/2,365.49 = 653.82/x
  3. Step 3: Cross multiply
    1,577.84x = 2,365.49 × 653.82
  4. Step 4: Simplify right side
    1,577.84x = 1,546,601.40
  5. Step 5: Solve for x
    x = 1,546,601.40/1,577.84
  6. Step 6: Final answer
    x = 980.20

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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.