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Finding the Fourth Proportional to 1,679.56, 2,316.68 and 1,155.88

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Solution

The fourth proportional to 1,679.56, 2,316.68 and 1,155.88 is: 1,594.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.56 : 2,316.68 = 1,155.88 : x
  2. Step 2: Convert to fraction form
    1,679.56/2,316.68 = 1,155.88/x
  3. Step 3: Cross multiply
    1,679.56x = 2,316.68 × 1,155.88
  4. Step 4: Simplify right side
    1,679.56x = 2,677,804.08
  5. Step 5: Solve for x
    x = 2,677,804.08/1,679.56
  6. Step 6: Final answer
    x = 1,594.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.