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Finding the Fourth Proportional to 956.40, 1,431.86 and 544.56

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Solution

The fourth proportional to 956.40, 1,431.86 and 544.56 is: 815.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.40 : 1,431.86 = 544.56 : x
  2. Step 2: Convert to fraction form
    956.40/1,431.86 = 544.56/x
  3. Step 3: Cross multiply
    956.40x = 1,431.86 × 544.56
  4. Step 4: Simplify right side
    956.40x = 779,733.68
  5. Step 5: Solve for x
    x = 779,733.68/956.40
  6. Step 6: Final answer
    x = 815.28

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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.