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Finding the Fourth Proportional to 459.72, 689.62 and 151.57

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Solution

The fourth proportional to 459.72, 689.62 and 151.57 is: 227.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.72 : 689.62 = 151.57 : x
  2. Step 2: Convert to fraction form
    459.72/689.62 = 151.57/x
  3. Step 3: Cross multiply
    459.72x = 689.62 × 151.57
  4. Step 4: Simplify right side
    459.72x = 104,523.22
  5. Step 5: Solve for x
    x = 104,523.22/459.72
  6. Step 6: Final answer
    x = 227.37

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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.