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Finding the Fourth Proportional to 459.96, 626.25 and 458.50

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Solution

The fourth proportional to 459.96, 626.25 and 458.50 is: 624.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.96 : 626.25 = 458.50 : x
  2. Step 2: Convert to fraction form
    459.96/626.25 = 458.50/x
  3. Step 3: Cross multiply
    459.96x = 626.25 × 458.50
  4. Step 4: Simplify right side
    459.96x = 287,138.13
  5. Step 5: Solve for x
    x = 287,138.13/459.96
  6. Step 6: Final answer
    x = 624.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.