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Finding the Fourth Proportional to 459.49, 689.17 and 134.77

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Solution

The fourth proportional to 459.49, 689.17 and 134.77 is: 202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.49 : 689.17 = 134.77 : x
  2. Step 2: Convert to fraction form
    459.49/689.17 = 134.77/x
  3. Step 3: Cross multiply
    459.49x = 689.17 × 134.77
  4. Step 4: Simplify right side
    459.49x = 92,879.10
  5. Step 5: Solve for x
    x = 92,879.10/459.49
  6. Step 6: Final answer
    x = 202.14

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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.