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Finding the Fourth Proportional to 695.09, 1,043.06 and 366.27

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Solution

The fourth proportional to 695.09, 1,043.06 and 366.27 is: 549.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.09 : 1,043.06 = 366.27 : x
  2. Step 2: Convert to fraction form
    695.09/1,043.06 = 366.27/x
  3. Step 3: Cross multiply
    695.09x = 1,043.06 × 366.27
  4. Step 4: Simplify right side
    695.09x = 382,038.59
  5. Step 5: Solve for x
    x = 382,038.59/695.09
  6. Step 6: Final answer
    x = 549.62

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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.