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Finding the Fourth Proportional to 459.63, 688.14 and 305.19

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Solution

The fourth proportional to 459.63, 688.14 and 305.19 is: 456.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.63 : 688.14 = 305.19 : x
  2. Step 2: Convert to fraction form
    459.63/688.14 = 305.19/x
  3. Step 3: Cross multiply
    459.63x = 688.14 × 305.19
  4. Step 4: Simplify right side
    459.63x = 210,013.45
  5. Step 5: Solve for x
    x = 210,013.45/459.63
  6. Step 6: Final answer
    x = 456.92

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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.