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Finding the Fourth Proportional to 955.96, 1,431.16 and 589.64

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Solution

The fourth proportional to 955.96, 1,431.16 and 589.64 is: 882.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.96 : 1,431.16 = 589.64 : x
  2. Step 2: Convert to fraction form
    955.96/1,431.16 = 589.64/x
  3. Step 3: Cross multiply
    955.96x = 1,431.16 × 589.64
  4. Step 4: Simplify right side
    955.96x = 843,860.55
  5. Step 5: Solve for x
    x = 843,860.55/955.96
  6. Step 6: Final answer
    x = 882.74

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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.