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Finding the Fourth Proportional to 955.23, 1,432.08 and 407.03

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Solution

The fourth proportional to 955.23, 1,432.08 and 407.03 is: 610.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.23 : 1,432.08 = 407.03 : x
  2. Step 2: Convert to fraction form
    955.23/1,432.08 = 407.03/x
  3. Step 3: Cross multiply
    955.23x = 1,432.08 × 407.03
  4. Step 4: Simplify right side
    955.23x = 582,892.36
  5. Step 5: Solve for x
    x = 582,892.36/955.23
  6. Step 6: Final answer
    x = 610.21

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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.