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Finding the Fourth Proportional to 459.64, 689.42 and 134.99

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Solution

The fourth proportional to 459.64, 689.42 and 134.99 is: 202.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.64 : 689.42 = 134.99 : x
  2. Step 2: Convert to fraction form
    459.64/689.42 = 134.99/x
  3. Step 3: Cross multiply
    459.64x = 689.42 × 134.99
  4. Step 4: Simplify right side
    459.64x = 93,061.36
  5. Step 5: Solve for x
    x = 93,061.36/459.64
  6. Step 6: Final answer
    x = 202.47

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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.