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Finding the Fourth Proportional to 956.94, 1,433.71 and 681.60

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Solution

The fourth proportional to 956.94, 1,433.71 and 681.60 is: 1,021.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.94 : 1,433.71 = 681.60 : x
  2. Step 2: Convert to fraction form
    956.94/1,433.71 = 681.60/x
  3. Step 3: Cross multiply
    956.94x = 1,433.71 × 681.60
  4. Step 4: Simplify right side
    956.94x = 977,216.74
  5. Step 5: Solve for x
    x = 977,216.74/956.94
  6. Step 6: Final answer
    x = 1,021.19

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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.