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Finding the Fourth Proportional to 955.40, 1,318.49 and 535.82

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Solution

The fourth proportional to 955.40, 1,318.49 and 535.82 is: 739.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.40 : 1,318.49 = 535.82 : x
  2. Step 2: Convert to fraction form
    955.40/1,318.49 = 535.82/x
  3. Step 3: Cross multiply
    955.40x = 1,318.49 × 535.82
  4. Step 4: Simplify right side
    955.40x = 706,464.04
  5. Step 5: Solve for x
    x = 706,464.04/955.40
  6. Step 6: Final answer
    x = 739.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.