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Finding the Fourth Proportional to 955.42, 1,431.50 and 708.77

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Solution

The fourth proportional to 955.42, 1,431.50 and 708.77 is: 1,061.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.42 : 1,431.50 = 708.77 : x
  2. Step 2: Convert to fraction form
    955.42/1,431.50 = 708.77/x
  3. Step 3: Cross multiply
    955.42x = 1,431.50 × 708.77
  4. Step 4: Simplify right side
    955.42x = 1,014,604.29
  5. Step 5: Solve for x
    x = 1,014,604.29/955.42
  6. Step 6: Final answer
    x = 1,061.95

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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.