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Finding the Fourth Proportional to 836.50, 1,153.88 and 504.72

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Solution

The fourth proportional to 836.50, 1,153.88 and 504.72 is: 696.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.50 : 1,153.88 = 504.72 : x
  2. Step 2: Convert to fraction form
    836.50/1,153.88 = 504.72/x
  3. Step 3: Cross multiply
    836.50x = 1,153.88 × 504.72
  4. Step 4: Simplify right side
    836.50x = 582,386.31
  5. Step 5: Solve for x
    x = 582,386.31/836.50
  6. Step 6: Final answer
    x = 696.22

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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.