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Finding the Fourth Proportional to 1,677.62, 2,515.88 and 703.46

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Solution

The fourth proportional to 1,677.62, 2,515.88 and 703.46 is: 1,054.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.62 : 2,515.88 = 703.46 : x
  2. Step 2: Convert to fraction form
    1,677.62/2,515.88 = 703.46/x
  3. Step 3: Cross multiply
    1,677.62x = 2,515.88 × 703.46
  4. Step 4: Simplify right side
    1,677.62x = 1,769,820.94
  5. Step 5: Solve for x
    x = 1,769,820.94/1,677.62
  6. Step 6: Final answer
    x = 1,054.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.