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Finding the Fourth Proportional to 584.74, 804.46 and 543.76

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Solution

The fourth proportional to 584.74, 804.46 and 543.76 is: 748.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.74 : 804.46 = 543.76 : x
  2. Step 2: Convert to fraction form
    584.74/804.46 = 543.76/x
  3. Step 3: Cross multiply
    584.74x = 804.46 × 543.76
  4. Step 4: Simplify right side
    584.74x = 437,433.17
  5. Step 5: Solve for x
    x = 437,433.17/584.74
  6. Step 6: Final answer
    x = 748.08

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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.