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Finding the Fourth Proportional to 1,720.84, 2,577.69 and 840.69

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Solution

The fourth proportional to 1,720.84, 2,577.69 and 840.69 is: 1,259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.84 : 2,577.69 = 840.69 : x
  2. Step 2: Convert to fraction form
    1,720.84/2,577.69 = 840.69/x
  3. Step 3: Cross multiply
    1,720.84x = 2,577.69 × 840.69
  4. Step 4: Simplify right side
    1,720.84x = 2,167,038.21
  5. Step 5: Solve for x
    x = 2,167,038.21/1,720.84
  6. Step 6: Final answer
    x = 1,259.29

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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.