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Finding the Fourth Proportional to 1,740.28, 2,610.78 and 586

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Solution

The fourth proportional to 1,740.28, 2,610.78 and 586 is: 879.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.28 : 2,610.78 = 586 : x
  2. Step 2: Convert to fraction form
    1,740.28/2,610.78 = 586/x
  3. Step 3: Cross multiply
    1,740.28x = 2,610.78 × 586
  4. Step 4: Simplify right side
    1,740.28x = 1,529,917.08
  5. Step 5: Solve for x
    x = 1,529,917.08/1,740.28
  6. Step 6: Final answer
    x = 879.12

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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.