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Finding the Fourth Proportional to 1,727.82, 2,590.29 and 802.89

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Solution

The fourth proportional to 1,727.82, 2,590.29 and 802.89 is: 1,203.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.82 : 2,590.29 = 802.89 : x
  2. Step 2: Convert to fraction form
    1,727.82/2,590.29 = 802.89/x
  3. Step 3: Cross multiply
    1,727.82x = 2,590.29 × 802.89
  4. Step 4: Simplify right side
    1,727.82x = 2,079,717.94
  5. Step 5: Solve for x
    x = 2,079,717.94/1,727.82
  6. Step 6: Final answer
    x = 1,203.67

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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.