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Finding the Fourth Proportional to 459.07, 688.61 and 367.94

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Solution

The fourth proportional to 459.07, 688.61 and 367.94 is: 551.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.07 : 688.61 = 367.94 : x
  2. Step 2: Convert to fraction form
    459.07/688.61 = 367.94/x
  3. Step 3: Cross multiply
    459.07x = 688.61 × 367.94
  4. Step 4: Simplify right side
    459.07x = 253,367.16
  5. Step 5: Solve for x
    x = 253,367.16/459.07
  6. Step 6: Final answer
    x = 551.91

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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.