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Finding the Fourth Proportional to 695.21, 960.23 and 549.77

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Solution

The fourth proportional to 695.21, 960.23 and 549.77 is: 759.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.21 : 960.23 = 549.77 : x
  2. Step 2: Convert to fraction form
    695.21/960.23 = 549.77/x
  3. Step 3: Cross multiply
    695.21x = 960.23 × 549.77
  4. Step 4: Simplify right side
    695.21x = 527,903.25
  5. Step 5: Solve for x
    x = 527,903.25/695.21
  6. Step 6: Final answer
    x = 759.35

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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.