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Finding the Fourth Proportional to 840.56, 1,160.51 and 788.27

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Solution

The fourth proportional to 840.56, 1,160.51 and 788.27 is: 1,088.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.56 : 1,160.51 = 788.27 : x
  2. Step 2: Convert to fraction form
    840.56/1,160.51 = 788.27/x
  3. Step 3: Cross multiply
    840.56x = 1,160.51 × 788.27
  4. Step 4: Simplify right side
    840.56x = 914,794.18
  5. Step 5: Solve for x
    x = 914,794.18/840.56
  6. Step 6: Final answer
    x = 1,088.32

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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.