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Finding the Fourth Proportional to 585.24, 806.96 and 479.94

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Solution

The fourth proportional to 585.24, 806.96 and 479.94 is: 661.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.24 : 806.96 = 479.94 : x
  2. Step 2: Convert to fraction form
    585.24/806.96 = 479.94/x
  3. Step 3: Cross multiply
    585.24x = 806.96 × 479.94
  4. Step 4: Simplify right side
    585.24x = 387,292.38
  5. Step 5: Solve for x
    x = 387,292.38/585.24
  6. Step 6: Final answer
    x = 661.77

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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.