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Finding the Fourth Proportional to 631.76, 949.56 and 597.20

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Solution

The fourth proportional to 631.76, 949.56 and 597.20 is: 897.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.76 : 949.56 = 597.20 : x
  2. Step 2: Convert to fraction form
    631.76/949.56 = 597.20/x
  3. Step 3: Cross multiply
    631.76x = 949.56 × 597.20
  4. Step 4: Simplify right side
    631.76x = 567,077.23
  5. Step 5: Solve for x
    x = 567,077.23/631.76
  6. Step 6: Final answer
    x = 897.61

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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.