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Finding the Fourth Proportional to 584.02, 805.80 and 387.19

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Solution

The fourth proportional to 584.02, 805.80 and 387.19 is: 534.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.02 : 805.80 = 387.19 : x
  2. Step 2: Convert to fraction form
    584.02/805.80 = 387.19/x
  3. Step 3: Cross multiply
    584.02x = 805.80 × 387.19
  4. Step 4: Simplify right side
    584.02x = 311,997.70
  5. Step 5: Solve for x
    x = 311,997.70/584.02
  6. Step 6: Final answer
    x = 534.22

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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.