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Finding the Fourth Proportional to 1,764.79, 2,648.04 and 984.76

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Solution

The fourth proportional to 1,764.79, 2,648.04 and 984.76 is: 1,477.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.79 : 2,648.04 = 984.76 : x
  2. Step 2: Convert to fraction form
    1,764.79/2,648.04 = 984.76/x
  3. Step 3: Cross multiply
    1,764.79x = 2,648.04 × 984.76
  4. Step 4: Simplify right side
    1,764.79x = 2,607,683.87
  5. Step 5: Solve for x
    x = 2,607,683.87/1,764.79
  6. Step 6: Final answer
    x = 1,477.62

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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.