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Finding the Fourth Proportional to 587.43, 799.79 and 585.60

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Solution

The fourth proportional to 587.43, 799.79 and 585.60 is: 797.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.43 : 799.79 = 585.60 : x
  2. Step 2: Convert to fraction form
    587.43/799.79 = 585.60/x
  3. Step 3: Cross multiply
    587.43x = 799.79 × 585.60
  4. Step 4: Simplify right side
    587.43x = 468,354.10
  5. Step 5: Solve for x
    x = 468,354.10/587.43
  6. Step 6: Final answer
    x = 797.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.