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Finding the Fourth Proportional to 1,706.48, 2,556.63 and 782.81

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Solution

The fourth proportional to 1,706.48, 2,556.63 and 782.81 is: 1,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.48 : 2,556.63 = 782.81 : x
  2. Step 2: Convert to fraction form
    1,706.48/2,556.63 = 782.81/x
  3. Step 3: Cross multiply
    1,706.48x = 2,556.63 × 782.81
  4. Step 4: Simplify right side
    1,706.48x = 2,001,355.53
  5. Step 5: Solve for x
    x = 2,001,355.53/1,706.48
  6. Step 6: Final answer
    x = 1,172.80

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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.