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Finding the Fourth Proportional to 695.51, 1,041.17 and 420.76

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Solution

The fourth proportional to 695.51, 1,041.17 and 420.76 is: 629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.51 : 1,041.17 = 420.76 : x
  2. Step 2: Convert to fraction form
    695.51/1,041.17 = 420.76/x
  3. Step 3: Cross multiply
    695.51x = 1,041.17 × 420.76
  4. Step 4: Simplify right side
    695.51x = 438,081.14
  5. Step 5: Solve for x
    x = 438,081.14/695.51
  6. Step 6: Final answer
    x = 629.87

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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.