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Finding the Fourth Proportional to 955.72, 1,433.88 and 646.74

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Solution

The fourth proportional to 955.72, 1,433.88 and 646.74 is: 970.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.72 : 1,433.88 = 646.74 : x
  2. Step 2: Convert to fraction form
    955.72/1,433.88 = 646.74/x
  3. Step 3: Cross multiply
    955.72x = 1,433.88 × 646.74
  4. Step 4: Simplify right side
    955.72x = 927,347.55
  5. Step 5: Solve for x
    x = 927,347.55/955.72
  6. Step 6: Final answer
    x = 970.31

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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.