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Finding the Fourth Proportional to 584.92, 805.19 and 451.88

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Solution

The fourth proportional to 584.92, 805.19 and 451.88 is: 622.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.92 : 805.19 = 451.88 : x
  2. Step 2: Convert to fraction form
    584.92/805.19 = 451.88/x
  3. Step 3: Cross multiply
    584.92x = 805.19 × 451.88
  4. Step 4: Simplify right side
    584.92x = 363,848.53
  5. Step 5: Solve for x
    x = 363,848.53/584.92
  6. Step 6: Final answer
    x = 622.05

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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.