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Finding the Fourth Proportional to 1,706.14, 2,557.18 and 780.85

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Solution

The fourth proportional to 1,706.14, 2,557.18 and 780.85 is: 1,170.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.14 : 2,557.18 = 780.85 : x
  2. Step 2: Convert to fraction form
    1,706.14/2,557.18 = 780.85/x
  3. Step 3: Cross multiply
    1,706.14x = 2,557.18 × 780.85
  4. Step 4: Simplify right side
    1,706.14x = 1,996,774.00
  5. Step 5: Solve for x
    x = 1,996,774.00/1,706.14
  6. Step 6: Final answer
    x = 1,170.35

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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.