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Finding the Fourth Proportional to 1,171.60, 1,617 and 778

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Solution

The fourth proportional to 1,171.60, 1,617 and 778 is: 1,073.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.60 : 1,617 = 778 : x
  2. Step 2: Convert to fraction form
    1,171.60/1,617 = 778/x
  3. Step 3: Cross multiply
    1,171.60x = 1,617 × 778
  4. Step 4: Simplify right side
    1,171.60x = 1,258,026
  5. Step 5: Solve for x
    x = 1,258,026/1,171.60
  6. Step 6: Final answer
    x = 1,073.77

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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.