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Finding the Fourth Proportional to 798.66, 1,195.98 and 505.27

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Solution

The fourth proportional to 798.66, 1,195.98 and 505.27 is: 756.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.66 : 1,195.98 = 505.27 : x
  2. Step 2: Convert to fraction form
    798.66/1,195.98 = 505.27/x
  3. Step 3: Cross multiply
    798.66x = 1,195.98 × 505.27
  4. Step 4: Simplify right side
    798.66x = 604,292.81
  5. Step 5: Solve for x
    x = 604,292.81/798.66
  6. Step 6: Final answer
    x = 756.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.