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Finding the Fourth Proportional to 546.34, 820.77 and 302.98

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Solution

The fourth proportional to 546.34, 820.77 and 302.98 is: 455.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.34 : 820.77 = 302.98 : x
  2. Step 2: Convert to fraction form
    546.34/820.77 = 302.98/x
  3. Step 3: Cross multiply
    546.34x = 820.77 × 302.98
  4. Step 4: Simplify right side
    546.34x = 248,676.89
  5. Step 5: Solve for x
    x = 248,676.89/546.34
  6. Step 6: Final answer
    x = 455.17

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