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Finding the Fourth Proportional to 798.68, 1,200.45 and 584.84

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Solution

The fourth proportional to 798.68, 1,200.45 and 584.84 is: 879.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.68 : 1,200.45 = 584.84 : x
  2. Step 2: Convert to fraction form
    798.68/1,200.45 = 584.84/x
  3. Step 3: Cross multiply
    798.68x = 1,200.45 × 584.84
  4. Step 4: Simplify right side
    798.68x = 702,071.18
  5. Step 5: Solve for x
    x = 702,071.18/798.68
  6. Step 6: Final answer
    x = 879.04

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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.