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Finding the Fourth Proportional to 459.75, 635.66 and 439.35

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Solution

The fourth proportional to 459.75, 635.66 and 439.35 is: 607.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.75 : 635.66 = 439.35 : x
  2. Step 2: Convert to fraction form
    459.75/635.66 = 439.35/x
  3. Step 3: Cross multiply
    459.75x = 635.66 × 439.35
  4. Step 4: Simplify right side
    459.75x = 279,275.02
  5. Step 5: Solve for x
    x = 279,275.02/459.75
  6. Step 6: Final answer
    x = 607.45

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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.