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Finding the Fourth Proportional to 546.09, 753.62 and 428.21

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Solution

The fourth proportional to 546.09, 753.62 and 428.21 is: 590.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.09 : 753.62 = 428.21 : x
  2. Step 2: Convert to fraction form
    546.09/753.62 = 428.21/x
  3. Step 3: Cross multiply
    546.09x = 753.62 × 428.21
  4. Step 4: Simplify right side
    546.09x = 322,701.71
  5. Step 5: Solve for x
    x = 322,701.71/546.09
  6. Step 6: Final answer
    x = 590.93

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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.