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Finding the Fourth Proportional to 955.40, 1,431.98 and 407.06

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Solution

The fourth proportional to 955.40, 1,431.98 and 407.06 is: 610.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.40 : 1,431.98 = 407.06 : x
  2. Step 2: Convert to fraction form
    955.40/1,431.98 = 407.06/x
  3. Step 3: Cross multiply
    955.40x = 1,431.98 × 407.06
  4. Step 4: Simplify right side
    955.40x = 582,899.48
  5. Step 5: Solve for x
    x = 582,899.48/955.40
  6. Step 6: Final answer
    x = 610.11

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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.