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Finding the Fourth Proportional to 797.80, 1,101.54 and 588.52

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Solution

The fourth proportional to 797.80, 1,101.54 and 588.52 is: 812.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.80 : 1,101.54 = 588.52 : x
  2. Step 2: Convert to fraction form
    797.80/1,101.54 = 588.52/x
  3. Step 3: Cross multiply
    797.80x = 1,101.54 × 588.52
  4. Step 4: Simplify right side
    797.80x = 648,278.32
  5. Step 5: Solve for x
    x = 648,278.32/797.80
  6. Step 6: Final answer
    x = 812.58

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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.