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Finding the Fourth Proportional to 458.51, 632.43 and 405.86

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Solution

The fourth proportional to 458.51, 632.43 and 405.86 is: 559.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.51 : 632.43 = 405.86 : x
  2. Step 2: Convert to fraction form
    458.51/632.43 = 405.86/x
  3. Step 3: Cross multiply
    458.51x = 632.43 × 405.86
  4. Step 4: Simplify right side
    458.51x = 256,674.88
  5. Step 5: Solve for x
    x = 256,674.88/458.51
  6. Step 6: Final answer
    x = 559.81

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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.