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Finding the Fourth Proportional to 584.58, 806.67 and 322.53

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Solution

The fourth proportional to 584.58, 806.67 and 322.53 is: 445.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.58 : 806.67 = 322.53 : x
  2. Step 2: Convert to fraction form
    584.58/806.67 = 322.53/x
  3. Step 3: Cross multiply
    584.58x = 806.67 × 322.53
  4. Step 4: Simplify right side
    584.58x = 260,175.28
  5. Step 5: Solve for x
    x = 260,175.28/584.58
  6. Step 6: Final answer
    x = 445.06

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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.