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Finding the Fourth Proportional to 1,156.26, 1,596.96 and 842.92

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Solution

The fourth proportional to 1,156.26, 1,596.96 and 842.92 is: 1,164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.26 : 1,596.96 = 842.92 : x
  2. Step 2: Convert to fraction form
    1,156.26/1,596.96 = 842.92/x
  3. Step 3: Cross multiply
    1,156.26x = 1,596.96 × 842.92
  4. Step 4: Simplify right side
    1,156.26x = 1,346,109.52
  5. Step 5: Solve for x
    x = 1,346,109.52/1,156.26
  6. Step 6: Final answer
    x = 1,164.19

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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.