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Finding the Fourth Proportional to 634.48, 875.48 and 546.96

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Solution

The fourth proportional to 634.48, 875.48 and 546.96 is: 754.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.48 : 875.48 = 546.96 : x
  2. Step 2: Convert to fraction form
    634.48/875.48 = 546.96/x
  3. Step 3: Cross multiply
    634.48x = 875.48 × 546.96
  4. Step 4: Simplify right side
    634.48x = 478,852.54
  5. Step 5: Solve for x
    x = 478,852.54/634.48
  6. Step 6: Final answer
    x = 754.72

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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.