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Finding the Fourth Proportional to 459.59, 634.01 and 312.42

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Solution

The fourth proportional to 459.59, 634.01 and 312.42 is: 430.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.59 : 634.01 = 312.42 : x
  2. Step 2: Convert to fraction form
    459.59/634.01 = 312.42/x
  3. Step 3: Cross multiply
    459.59x = 634.01 × 312.42
  4. Step 4: Simplify right side
    459.59x = 198,077.40
  5. Step 5: Solve for x
    x = 198,077.40/459.59
  6. Step 6: Final answer
    x = 430.99

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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.