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Finding the Fourth Proportional to 955.20, 1,427.76 and 932.16

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Solution

The fourth proportional to 955.20, 1,427.76 and 932.16 is: 1,393.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.20 : 1,427.76 = 932.16 : x
  2. Step 2: Convert to fraction form
    955.20/1,427.76 = 932.16/x
  3. Step 3: Cross multiply
    955.20x = 1,427.76 × 932.16
  4. Step 4: Simplify right side
    955.20x = 1,330,900.76
  5. Step 5: Solve for x
    x = 1,330,900.76/955.20
  6. Step 6: Final answer
    x = 1,393.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.