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Finding the Fourth Proportional to 459.06, 688.86 and 423.42

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Solution

The fourth proportional to 459.06, 688.86 and 423.42 is: 635.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.06 : 688.86 = 423.42 : x
  2. Step 2: Convert to fraction form
    459.06/688.86 = 423.42/x
  3. Step 3: Cross multiply
    459.06x = 688.86 × 423.42
  4. Step 4: Simplify right side
    459.06x = 291,677.10
  5. Step 5: Solve for x
    x = 291,677.10/459.06
  6. Step 6: Final answer
    x = 635.38

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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.