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Finding the Fourth Proportional to 546.91, 755.35 and 424.06

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Solution

The fourth proportional to 546.91, 755.35 and 424.06 is: 585.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.91 : 755.35 = 424.06 : x
  2. Step 2: Convert to fraction form
    546.91/755.35 = 424.06/x
  3. Step 3: Cross multiply
    546.91x = 755.35 × 424.06
  4. Step 4: Simplify right side
    546.91x = 320,313.72
  5. Step 5: Solve for x
    x = 320,313.72/546.91
  6. Step 6: Final answer
    x = 585.68

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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.