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Finding the Fourth Proportional to 585.21, 806.74 and 569.85

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Solution

The fourth proportional to 585.21, 806.74 and 569.85 is: 785.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.21 : 806.74 = 569.85 : x
  2. Step 2: Convert to fraction form
    585.21/806.74 = 569.85/x
  3. Step 3: Cross multiply
    585.21x = 806.74 × 569.85
  4. Step 4: Simplify right side
    585.21x = 459,720.79
  5. Step 5: Solve for x
    x = 459,720.79/585.21
  6. Step 6: Final answer
    x = 785.57

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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.