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Finding the Fourth Proportional to 1,730.66, 2,596.20 and 690.62

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Solution

The fourth proportional to 1,730.66, 2,596.20 and 690.62 is: 1,036.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.66 : 2,596.20 = 690.62 : x
  2. Step 2: Convert to fraction form
    1,730.66/2,596.20 = 690.62/x
  3. Step 3: Cross multiply
    1,730.66x = 2,596.20 × 690.62
  4. Step 4: Simplify right side
    1,730.66x = 1,792,987.64
  5. Step 5: Solve for x
    x = 1,792,987.64/1,730.66
  6. Step 6: Final answer
    x = 1,036.01

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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.