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Finding the Fourth Proportional to 1,324.35, 1,828.58 and 931.91

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Solution

The fourth proportional to 1,324.35, 1,828.58 and 931.91 is: 1,286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.35 : 1,828.58 = 931.91 : x
  2. Step 2: Convert to fraction form
    1,324.35/1,828.58 = 931.91/x
  3. Step 3: Cross multiply
    1,324.35x = 1,828.58 × 931.91
  4. Step 4: Simplify right side
    1,324.35x = 1,704,058.19
  5. Step 5: Solve for x
    x = 1,704,058.19/1,324.35
  6. Step 6: Final answer
    x = 1,286.71

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1.5x scale

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.