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Finding the Fourth Proportional to 1,142.42, 1,712.25 and 771.44

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Solution

The fourth proportional to 1,142.42, 1,712.25 and 771.44 is: 1,156.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.42 : 1,712.25 = 771.44 : x
  2. Step 2: Convert to fraction form
    1,142.42/1,712.25 = 771.44/x
  3. Step 3: Cross multiply
    1,142.42x = 1,712.25 × 771.44
  4. Step 4: Simplify right side
    1,142.42x = 1,320,889.58
  5. Step 5: Solve for x
    x = 1,320,889.58/1,142.42
  6. Step 6: Final answer
    x = 1,156.23

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.