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Finding the Fourth Proportional to 631.76, 941.28 and 596.39

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Solution

The fourth proportional to 631.76, 941.28 and 596.39 is: 888.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.76 : 941.28 = 596.39 : x
  2. Step 2: Convert to fraction form
    631.76/941.28 = 596.39/x
  3. Step 3: Cross multiply
    631.76x = 941.28 × 596.39
  4. Step 4: Simplify right side
    631.76x = 561,369.98
  5. Step 5: Solve for x
    x = 561,369.98/631.76
  6. Step 6: Final answer
    x = 888.58

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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.