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Finding the Fourth Proportional to 536.60, 739.99 and 477.65

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Solution

The fourth proportional to 536.60, 739.99 and 477.65 is: 658.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.60 : 739.99 = 477.65 : x
  2. Step 2: Convert to fraction form
    536.60/739.99 = 477.65/x
  3. Step 3: Cross multiply
    536.60x = 739.99 × 477.65
  4. Step 4: Simplify right side
    536.60x = 353,456.22
  5. Step 5: Solve for x
    x = 353,456.22/536.60
  6. Step 6: Final answer
    x = 658.70

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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.