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Finding the Fourth Proportional to 953.26, 1,311.53 and 840.74

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Solution

The fourth proportional to 953.26, 1,311.53 and 840.74 is: 1,156.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.26 : 1,311.53 = 840.74 : x
  2. Step 2: Convert to fraction form
    953.26/1,311.53 = 840.74/x
  3. Step 3: Cross multiply
    953.26x = 1,311.53 × 840.74
  4. Step 4: Simplify right side
    953.26x = 1,102,644.97
  5. Step 5: Solve for x
    x = 1,102,644.97/953.26
  6. Step 6: Final answer
    x = 1,156.71

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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.