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Finding the Fourth Proportional to 1,680.77, 2,522.17 and 585.90

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Solution

The fourth proportional to 1,680.77, 2,522.17 and 585.90 is: 879.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.77 : 2,522.17 = 585.90 : x
  2. Step 2: Convert to fraction form
    1,680.77/2,522.17 = 585.90/x
  3. Step 3: Cross multiply
    1,680.77x = 2,522.17 × 585.90
  4. Step 4: Simplify right side
    1,680.77x = 1,477,739.40
  5. Step 5: Solve for x
    x = 1,477,739.40/1,680.77
  6. Step 6: Final answer
    x = 879.20

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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.