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Finding the Fourth Proportional to 536.47, 739.83 and 458.00

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Solution

The fourth proportional to 536.47, 739.83 and 458.00 is: 631.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.47 : 739.83 = 458.00 : x
  2. Step 2: Convert to fraction form
    536.47/739.83 = 458.00/x
  3. Step 3: Cross multiply
    536.47x = 739.83 × 458.00
  4. Step 4: Simplify right side
    536.47x = 338,847.09
  5. Step 5: Solve for x
    x = 338,847.09/536.47
  6. Step 6: Final answer
    x = 631.62

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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.