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Finding the Fourth Proportional to 585.63, 806.76 and 438.21

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Solution

The fourth proportional to 585.63, 806.76 and 438.21 is: 603.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.63 : 806.76 = 438.21 : x
  2. Step 2: Convert to fraction form
    585.63/806.76 = 438.21/x
  3. Step 3: Cross multiply
    585.63x = 806.76 × 438.21
  4. Step 4: Simplify right side
    585.63x = 353,530.30
  5. Step 5: Solve for x
    x = 353,530.30/585.63
  6. Step 6: Final answer
    x = 603.68

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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.