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Finding the Fourth Proportional to 459.53, 634.47 and 312.29

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Solution

The fourth proportional to 459.53, 634.47 and 312.29 is: 431.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.53 : 634.47 = 312.29 : x
  2. Step 2: Convert to fraction form
    459.53/634.47 = 312.29/x
  3. Step 3: Cross multiply
    459.53x = 634.47 × 312.29
  4. Step 4: Simplify right side
    459.53x = 198,138.64
  5. Step 5: Solve for x
    x = 198,138.64/459.53
  6. Step 6: Final answer
    x = 431.18

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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.