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Finding the Fourth Proportional to 588.20, 873.61 and 577.40

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Solution

The fourth proportional to 588.20, 873.61 and 577.40 is: 857.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.20 : 873.61 = 577.40 : x
  2. Step 2: Convert to fraction form
    588.20/873.61 = 577.40/x
  3. Step 3: Cross multiply
    588.20x = 873.61 × 577.40
  4. Step 4: Simplify right side
    588.20x = 504,422.41
  5. Step 5: Solve for x
    x = 504,422.41/588.20
  6. Step 6: Final answer
    x = 857.57

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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.