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Finding the Fourth Proportional to 584.07, 805.36 and 477.39

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Solution

The fourth proportional to 584.07, 805.36 and 477.39 is: 658.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.07 : 805.36 = 477.39 : x
  2. Step 2: Convert to fraction form
    584.07/805.36 = 477.39/x
  3. Step 3: Cross multiply
    584.07x = 805.36 × 477.39
  4. Step 4: Simplify right side
    584.07x = 384,471.13
  5. Step 5: Solve for x
    x = 384,471.13/584.07
  6. Step 6: Final answer
    x = 658.27

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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.