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Finding the Fourth Proportional to 635.41, 875.93 and 546.49

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Solution

The fourth proportional to 635.41, 875.93 and 546.49 is: 753.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.41 : 875.93 = 546.49 : x
  2. Step 2: Convert to fraction form
    635.41/875.93 = 546.49/x
  3. Step 3: Cross multiply
    635.41x = 875.93 × 546.49
  4. Step 4: Simplify right side
    635.41x = 478,686.99
  5. Step 5: Solve for x
    x = 478,686.99/635.41
  6. Step 6: Final answer
    x = 753.35

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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.