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Finding the Fourth Proportional to 584.83, 806.71 and 460.30

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Solution

The fourth proportional to 584.83, 806.71 and 460.30 is: 634.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.83 : 806.71 = 460.30 : x
  2. Step 2: Convert to fraction form
    584.83/806.71 = 460.30/x
  3. Step 3: Cross multiply
    584.83x = 806.71 × 460.30
  4. Step 4: Simplify right side
    584.83x = 371,323.43
  5. Step 5: Solve for x
    x = 371,323.43/584.83
  6. Step 6: Final answer
    x = 634.93

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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.