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Finding the Fourth Proportional to 1,706.20, 2,558 and 782.02

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Solution

The fourth proportional to 1,706.20, 2,558 and 782.02 is: 1,172.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.20 : 2,558 = 782.02 : x
  2. Step 2: Convert to fraction form
    1,706.20/2,558 = 782.02/x
  3. Step 3: Cross multiply
    1,706.20x = 2,558 × 782.02
  4. Step 4: Simplify right side
    1,706.20x = 2,000,407.16
  5. Step 5: Solve for x
    x = 2,000,407.16/1,706.20
  6. Step 6: Final answer
    x = 1,172.43

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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.