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Finding the Fourth Proportional to 459.10, 689.30 and 367.51

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Solution

The fourth proportional to 459.10, 689.30 and 367.51 is: 551.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.10 : 689.30 = 367.51 : x
  2. Step 2: Convert to fraction form
    459.10/689.30 = 367.51/x
  3. Step 3: Cross multiply
    459.10x = 689.30 × 367.51
  4. Step 4: Simplify right side
    459.10x = 253,324.64
  5. Step 5: Solve for x
    x = 253,324.64/459.10
  6. Step 6: Final answer
    x = 551.79

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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.