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Finding the Fourth Proportional to 631.15, 942.47 and 515.82

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Solution

The fourth proportional to 631.15, 942.47 and 515.82 is: 770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.15 : 942.47 = 515.82 : x
  2. Step 2: Convert to fraction form
    631.15/942.47 = 515.82/x
  3. Step 3: Cross multiply
    631.15x = 942.47 × 515.82
  4. Step 4: Simplify right side
    631.15x = 486,144.88
  5. Step 5: Solve for x
    x = 486,144.88/631.15
  6. Step 6: Final answer
    x = 770.25

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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.