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Finding the Fourth Proportional to 635.49, 875.16 and 546.30

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Solution

The fourth proportional to 635.49, 875.16 and 546.30 is: 752.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.49 : 875.16 = 546.30 : x
  2. Step 2: Convert to fraction form
    635.49/875.16 = 546.30/x
  3. Step 3: Cross multiply
    635.49x = 875.16 × 546.30
  4. Step 4: Simplify right side
    635.49x = 478,099.91
  5. Step 5: Solve for x
    x = 478,099.91/635.49
  6. Step 6: Final answer
    x = 752.33

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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.