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Finding the Fourth Proportional to 867.60, 1,197.75 and 588.05

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Solution

The fourth proportional to 867.60, 1,197.75 and 588.05 is: 811.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.60 : 1,197.75 = 588.05 : x
  2. Step 2: Convert to fraction form
    867.60/1,197.75 = 588.05/x
  3. Step 3: Cross multiply
    867.60x = 1,197.75 × 588.05
  4. Step 4: Simplify right side
    867.60x = 704,336.89
  5. Step 5: Solve for x
    x = 704,336.89/867.60
  6. Step 6: Final answer
    x = 811.82

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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.