Home / 1,164.23-1,604.58-927.71

Finding the Fourth Proportional to 1,164.23, 1,604.58 and 927.71

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Solution

The fourth proportional to 1,164.23, 1,604.58 and 927.71 is: 1,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.23 : 1,604.58 = 927.71 : x
  2. Step 2: Convert to fraction form
    1,164.23/1,604.58 = 927.71/x
  3. Step 3: Cross multiply
    1,164.23x = 1,604.58 × 927.71
  4. Step 4: Simplify right side
    1,164.23x = 1,488,584.91
  5. Step 5: Solve for x
    x = 1,488,584.91/1,164.23
  6. Step 6: Final answer
    x = 1,278.60

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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.