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Finding the Fourth Proportional to 797.04, 1,189.08 and 722.52

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Solution

The fourth proportional to 797.04, 1,189.08 and 722.52 is: 1,077.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.04 : 1,189.08 = 722.52 : x
  2. Step 2: Convert to fraction form
    797.04/1,189.08 = 722.52/x
  3. Step 3: Cross multiply
    797.04x = 1,189.08 × 722.52
  4. Step 4: Simplify right side
    797.04x = 859,134.08
  5. Step 5: Solve for x
    x = 859,134.08/797.04
  6. Step 6: Final answer
    x = 1,077.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.