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Finding the Fourth Proportional to 458.70, 629.95 and 384.89

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Solution

The fourth proportional to 458.70, 629.95 and 384.89 is: 528.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.70 : 629.95 = 384.89 : x
  2. Step 2: Convert to fraction form
    458.70/629.95 = 384.89/x
  3. Step 3: Cross multiply
    458.70x = 629.95 × 384.89
  4. Step 4: Simplify right side
    458.70x = 242,457.34
  5. Step 5: Solve for x
    x = 242,457.34/458.70
  6. Step 6: Final answer
    x = 528.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.