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Finding the Fourth Proportional to 798.72, 1,194.48 and 582

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Solution

The fourth proportional to 798.72, 1,194.48 and 582 is: 870.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.72 : 1,194.48 = 582 : x
  2. Step 2: Convert to fraction form
    798.72/1,194.48 = 582/x
  3. Step 3: Cross multiply
    798.72x = 1,194.48 × 582
  4. Step 4: Simplify right side
    798.72x = 695,187.36
  5. Step 5: Solve for x
    x = 695,187.36/798.72
  6. Step 6: Final answer
    x = 870.38

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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.