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Finding the Fourth Proportional to 1,095.10, 1,511.20 and 675.63

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Solution

The fourth proportional to 1,095.10, 1,511.20 and 675.63 is: 932.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.10 : 1,511.20 = 675.63 : x
  2. Step 2: Convert to fraction form
    1,095.10/1,511.20 = 675.63/x
  3. Step 3: Cross multiply
    1,095.10x = 1,511.20 × 675.63
  4. Step 4: Simplify right side
    1,095.10x = 1,021,012.06
  5. Step 5: Solve for x
    x = 1,021,012.06/1,095.10
  6. Step 6: Final answer
    x = 932.35

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1.5x scale

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.