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Finding the Fourth Proportional to 458.84, 631.62 and 348.12

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Solution

The fourth proportional to 458.84, 631.62 and 348.12 is: 479.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.84 : 631.62 = 348.12 : x
  2. Step 2: Convert to fraction form
    458.84/631.62 = 348.12/x
  3. Step 3: Cross multiply
    458.84x = 631.62 × 348.12
  4. Step 4: Simplify right side
    458.84x = 219,879.55
  5. Step 5: Solve for x
    x = 219,879.55/458.84
  6. Step 6: Final answer
    x = 479.21

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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.