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Finding the Fourth Proportional to 694.51, 958.58 and 458.50

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Solution

The fourth proportional to 694.51, 958.58 and 458.50 is: 632.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.51 : 958.58 = 458.50 : x
  2. Step 2: Convert to fraction form
    694.51/958.58 = 458.50/x
  3. Step 3: Cross multiply
    694.51x = 958.58 × 458.50
  4. Step 4: Simplify right side
    694.51x = 439,507.68
  5. Step 5: Solve for x
    x = 439,507.68/694.51
  6. Step 6: Final answer
    x = 632.83

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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.