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Finding the Fourth Proportional to 958.42, 1,430.64 and 822.34

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Solution

The fourth proportional to 958.42, 1,430.64 and 822.34 is: 1,227.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.42 : 1,430.64 = 822.34 : x
  2. Step 2: Convert to fraction form
    958.42/1,430.64 = 822.34/x
  3. Step 3: Cross multiply
    958.42x = 1,430.64 × 822.34
  4. Step 4: Simplify right side
    958.42x = 1,176,472.50
  5. Step 5: Solve for x
    x = 1,176,472.50/958.42
  6. Step 6: Final answer
    x = 1,227.51

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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.