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Finding the Fourth Proportional to 1,095.50, 1,511.80 and 746.18

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Solution

The fourth proportional to 1,095.50, 1,511.80 and 746.18 is: 1,029.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.50 : 1,511.80 = 746.18 : x
  2. Step 2: Convert to fraction form
    1,095.50/1,511.80 = 746.18/x
  3. Step 3: Cross multiply
    1,095.50x = 1,511.80 × 746.18
  4. Step 4: Simplify right side
    1,095.50x = 1,128,074.92
  5. Step 5: Solve for x
    x = 1,128,074.92/1,095.50
  6. Step 6: Final answer
    x = 1,029.74

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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.