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Finding the Fourth Proportional to 585.20, 829.04 and 585.20

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Solution

The fourth proportional to 585.20, 829.04 and 585.20 is: 829.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.20 : 829.04 = 585.20 : x
  2. Step 2: Convert to fraction form
    585.20/829.04 = 585.20/x
  3. Step 3: Cross multiply
    585.20x = 829.04 × 585.20
  4. Step 4: Simplify right side
    585.20x = 485,154.21
  5. Step 5: Solve for x
    x = 485,154.21/585.20
  6. Step 6: Final answer
    x = 829.04

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.