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Finding the Fourth Proportional to 459.32, 689.28 and 422.24

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Solution

The fourth proportional to 459.32, 689.28 and 422.24 is: 633.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.32 : 689.28 = 422.24 : x
  2. Step 2: Convert to fraction form
    459.32/689.28 = 422.24/x
  3. Step 3: Cross multiply
    459.32x = 689.28 × 422.24
  4. Step 4: Simplify right side
    459.32x = 291,041.59
  5. Step 5: Solve for x
    x = 291,041.59/459.32
  6. Step 6: Final answer
    x = 633.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.