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Finding the Fourth Proportional to 955.68, 1,431.06 and 875.49

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Solution

The fourth proportional to 955.68, 1,431.06 and 875.49 is: 1,310.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.68 : 1,431.06 = 875.49 : x
  2. Step 2: Convert to fraction form
    955.68/1,431.06 = 875.49/x
  3. Step 3: Cross multiply
    955.68x = 1,431.06 × 875.49
  4. Step 4: Simplify right side
    955.68x = 1,252,878.72
  5. Step 5: Solve for x
    x = 1,252,878.72/955.68
  6. Step 6: Final answer
    x = 1,310.98

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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.