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Finding the Fourth Proportional to 459.35, 630.58 and 422.45

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Solution

The fourth proportional to 459.35, 630.58 and 422.45 is: 579.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.35 : 630.58 = 422.45 : x
  2. Step 2: Convert to fraction form
    459.35/630.58 = 422.45/x
  3. Step 3: Cross multiply
    459.35x = 630.58 × 422.45
  4. Step 4: Simplify right side
    459.35x = 266,385.37
  5. Step 5: Solve for x
    x = 266,385.37/459.35
  6. Step 6: Final answer
    x = 579.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.