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Finding the Fourth Proportional to 840.70, 1,157.75 and 837.96

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Solution

The fourth proportional to 840.70, 1,157.75 and 837.96 is: 1,153.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.70 : 1,157.75 = 837.96 : x
  2. Step 2: Convert to fraction form
    840.70/1,157.75 = 837.96/x
  3. Step 3: Cross multiply
    840.70x = 1,157.75 × 837.96
  4. Step 4: Simplify right side
    840.70x = 970,150.28
  5. Step 5: Solve for x
    x = 970,150.28/840.70
  6. Step 6: Final answer
    x = 1,153.98

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Double scale
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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.