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Finding the Fourth Proportional to 458.63, 633.77 and 347.90

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Solution

The fourth proportional to 458.63, 633.77 and 347.90 is: 480.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.63 : 633.77 = 347.90 : x
  2. Step 2: Convert to fraction form
    458.63/633.77 = 347.90/x
  3. Step 3: Cross multiply
    458.63x = 633.77 × 347.90
  4. Step 4: Simplify right side
    458.63x = 220,483.67
  5. Step 5: Solve for x
    x = 220,483.67/458.63
  6. Step 6: Final answer
    x = 480.75

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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.