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Finding the Fourth Proportional to 585.55, 806.42 and 572.79

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Solution

The fourth proportional to 585.55, 806.42 and 572.79 is: 788.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.55 : 806.42 = 572.79 : x
  2. Step 2: Convert to fraction form
    585.55/806.42 = 572.79/x
  3. Step 3: Cross multiply
    585.55x = 806.42 × 572.79
  4. Step 4: Simplify right side
    585.55x = 461,909.31
  5. Step 5: Solve for x
    x = 461,909.31/585.55
  6. Step 6: Final answer
    x = 788.85

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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.