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Finding the Fourth Proportional to 695.52, 1,039.50 and 549.72

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Solution

The fourth proportional to 695.52, 1,039.50 and 549.72 is: 821.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.52 : 1,039.50 = 549.72 : x
  2. Step 2: Convert to fraction form
    695.52/1,039.50 = 549.72/x
  3. Step 3: Cross multiply
    695.52x = 1,039.50 × 549.72
  4. Step 4: Simplify right side
    695.52x = 571,433.94
  5. Step 5: Solve for x
    x = 571,433.94/695.52
  6. Step 6: Final answer
    x = 821.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.