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Finding the Fourth Proportional to 935.34, 1,291.32 and 726

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Solution

The fourth proportional to 935.34, 1,291.32 and 726 is: 1,002.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.34 : 1,291.32 = 726 : x
  2. Step 2: Convert to fraction form
    935.34/1,291.32 = 726/x
  3. Step 3: Cross multiply
    935.34x = 1,291.32 × 726
  4. Step 4: Simplify right side
    935.34x = 937,498.32
  5. Step 5: Solve for x
    x = 937,498.32/935.34
  6. Step 6: Final answer
    x = 1,002.31

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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.