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Finding the Fourth Proportional to 459.71, 633.41 and 312.09

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Solution

The fourth proportional to 459.71, 633.41 and 312.09 is: 430.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.71 : 633.41 = 312.09 : x
  2. Step 2: Convert to fraction form
    459.71/633.41 = 312.09/x
  3. Step 3: Cross multiply
    459.71x = 633.41 × 312.09
  4. Step 4: Simplify right side
    459.71x = 197,682.37
  5. Step 5: Solve for x
    x = 197,682.37/459.71
  6. Step 6: Final answer
    x = 430.01

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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.