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Finding the Fourth Proportional to 1,770.60, 2,656.62 and 989.58

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Solution

The fourth proportional to 1,770.60, 2,656.62 and 989.58 is: 1,484.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.60 : 2,656.62 = 989.58 : x
  2. Step 2: Convert to fraction form
    1,770.60/2,656.62 = 989.58/x
  3. Step 3: Cross multiply
    1,770.60x = 2,656.62 × 989.58
  4. Step 4: Simplify right side
    1,770.60x = 2,628,938.02
  5. Step 5: Solve for x
    x = 2,628,938.02/1,770.60
  6. Step 6: Final answer
    x = 1,484.77

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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.