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Finding the Fourth Proportional to 840.78, 1,160.08 and 504.79

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Solution

The fourth proportional to 840.78, 1,160.08 and 504.79 is: 696.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.78 : 1,160.08 = 504.79 : x
  2. Step 2: Convert to fraction form
    840.78/1,160.08 = 504.79/x
  3. Step 3: Cross multiply
    840.78x = 1,160.08 × 504.79
  4. Step 4: Simplify right side
    840.78x = 585,596.78
  5. Step 5: Solve for x
    x = 585,596.78/840.78
  6. Step 6: Final answer
    x = 696.49

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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.