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Finding the Fourth Proportional to 458.10, 630.72 and 378.45

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Solution

The fourth proportional to 458.10, 630.72 and 378.45 is: 521.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.10 : 630.72 = 378.45 : x
  2. Step 2: Convert to fraction form
    458.10/630.72 = 378.45/x
  3. Step 3: Cross multiply
    458.10x = 630.72 × 378.45
  4. Step 4: Simplify right side
    458.10x = 238,695.98
  5. Step 5: Solve for x
    x = 238,695.98/458.10
  6. Step 6: Final answer
    x = 521.06

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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.