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Finding the Fourth Proportional to 459.72, 689.58 and 135.09

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Solution

The fourth proportional to 459.72, 689.58 and 135.09 is: 202.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.72 : 689.58 = 135.09 : x
  2. Step 2: Convert to fraction form
    459.72/689.58 = 135.09/x
  3. Step 3: Cross multiply
    459.72x = 689.58 × 135.09
  4. Step 4: Simplify right side
    459.72x = 93,155.36
  5. Step 5: Solve for x
    x = 93,155.36/459.72
  6. Step 6: Final answer
    x = 202.64

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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.