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Finding the Fourth Proportional to 459.57, 688.91 and 305.12

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Solution

The fourth proportional to 459.57, 688.91 and 305.12 is: 457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.57 : 688.91 = 305.12 : x
  2. Step 2: Convert to fraction form
    459.57/688.91 = 305.12/x
  3. Step 3: Cross multiply
    459.57x = 688.91 × 305.12
  4. Step 4: Simplify right side
    459.57x = 210,196.54
  5. Step 5: Solve for x
    x = 210,196.54/459.57
  6. Step 6: Final answer
    x = 457.37

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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.