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Finding the Fourth Proportional to 1,680.95, 2,519.98 and 585.18

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Solution

The fourth proportional to 1,680.95, 2,519.98 and 585.18 is: 877.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.95 : 2,519.98 = 585.18 : x
  2. Step 2: Convert to fraction form
    1,680.95/2,519.98 = 585.18/x
  3. Step 3: Cross multiply
    1,680.95x = 2,519.98 × 585.18
  4. Step 4: Simplify right side
    1,680.95x = 1,474,641.90
  5. Step 5: Solve for x
    x = 1,474,641.90/1,680.95
  6. Step 6: Final answer
    x = 877.27

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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.