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Finding the Fourth Proportional to 584.73, 805.57 and 484.49

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Solution

The fourth proportional to 584.73, 805.57 and 484.49 is: 667.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.73 : 805.57 = 484.49 : x
  2. Step 2: Convert to fraction form
    584.73/805.57 = 484.49/x
  3. Step 3: Cross multiply
    584.73x = 805.57 × 484.49
  4. Step 4: Simplify right side
    584.73x = 390,291.41
  5. Step 5: Solve for x
    x = 390,291.41/584.73
  6. Step 6: Final answer
    x = 667.47

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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.