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Finding the Fourth Proportional to 695.89, 955.29 and 597.47

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Solution

The fourth proportional to 695.89, 955.29 and 597.47 is: 820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.89 : 955.29 = 597.47 : x
  2. Step 2: Convert to fraction form
    695.89/955.29 = 597.47/x
  3. Step 3: Cross multiply
    695.89x = 955.29 × 597.47
  4. Step 4: Simplify right side
    695.89x = 570,757.12
  5. Step 5: Solve for x
    x = 570,757.12/695.89
  6. Step 6: Final answer
    x = 820.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.