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Finding the Fourth Proportional to 695.13, 1,039.23 and 541.20

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Solution

The fourth proportional to 695.13, 1,039.23 and 541.20 is: 809.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.13 : 1,039.23 = 541.20 : x
  2. Step 2: Convert to fraction form
    695.13/1,039.23 = 541.20/x
  3. Step 3: Cross multiply
    695.13x = 1,039.23 × 541.20
  4. Step 4: Simplify right side
    695.13x = 562,431.28
  5. Step 5: Solve for x
    x = 562,431.28/695.13
  6. Step 6: Final answer
    x = 809.10

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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.