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Finding the Fourth Proportional to 459.51, 633.04 and 376.13

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Solution

The fourth proportional to 459.51, 633.04 and 376.13 is: 518.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.51 : 633.04 = 376.13 : x
  2. Step 2: Convert to fraction form
    459.51/633.04 = 376.13/x
  3. Step 3: Cross multiply
    459.51x = 633.04 × 376.13
  4. Step 4: Simplify right side
    459.51x = 238,103.47
  5. Step 5: Solve for x
    x = 238,103.47/459.51
  6. Step 6: Final answer
    x = 518.17

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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.