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Finding the Fourth Proportional to 459.04, 633.75 and 309.93

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Solution

The fourth proportional to 459.04, 633.75 and 309.93 is: 427.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.04 : 633.75 = 309.93 : x
  2. Step 2: Convert to fraction form
    459.04/633.75 = 309.93/x
  3. Step 3: Cross multiply
    459.04x = 633.75 × 309.93
  4. Step 4: Simplify right side
    459.04x = 196,415.47
  5. Step 5: Solve for x
    x = 196,415.47/459.04
  6. Step 6: Final answer
    x = 427.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.