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Finding the Fourth Proportional to 1,238.58, 1,858.20 and 458.68

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Solution

The fourth proportional to 1,238.58, 1,858.20 and 458.68 is: 688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.58 : 1,858.20 = 458.68 : x
  2. Step 2: Convert to fraction form
    1,238.58/1,858.20 = 458.68/x
  3. Step 3: Cross multiply
    1,238.58x = 1,858.20 × 458.68
  4. Step 4: Simplify right side
    1,238.58x = 852,319.18
  5. Step 5: Solve for x
    x = 852,319.18/1,238.58
  6. Step 6: Final answer
    x = 688.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.