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Finding the Fourth Proportional to 459.74, 689.55 and 135.14

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Solution

The fourth proportional to 459.74, 689.55 and 135.14 is: 202.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.74 : 689.55 = 135.14 : x
  2. Step 2: Convert to fraction form
    459.74/689.55 = 135.14/x
  3. Step 3: Cross multiply
    459.74x = 689.55 × 135.14
  4. Step 4: Simplify right side
    459.74x = 93,185.79
  5. Step 5: Solve for x
    x = 93,185.79/459.74
  6. Step 6: Final answer
    x = 202.69

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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.