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Finding the Fourth Proportional to 631.76, 872.80 and 539.46

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Solution

The fourth proportional to 631.76, 872.80 and 539.46 is: 745.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.76 : 872.80 = 539.46 : x
  2. Step 2: Convert to fraction form
    631.76/872.80 = 539.46/x
  3. Step 3: Cross multiply
    631.76x = 872.80 × 539.46
  4. Step 4: Simplify right side
    631.76x = 470,840.69
  5. Step 5: Solve for x
    x = 470,840.69/631.76
  6. Step 6: Final answer
    x = 745.28

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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.