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Finding the Fourth Proportional to 584.22, 805.03 and 543.21

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Solution

The fourth proportional to 584.22, 805.03 and 543.21 is: 748.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.22 : 805.03 = 543.21 : x
  2. Step 2: Convert to fraction form
    584.22/805.03 = 543.21/x
  3. Step 3: Cross multiply
    584.22x = 805.03 × 543.21
  4. Step 4: Simplify right side
    584.22x = 437,300.35
  5. Step 5: Solve for x
    x = 437,300.35/584.22
  6. Step 6: Final answer
    x = 748.52

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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.