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Finding the Fourth Proportional to 601.13, 896.43 and 546.81

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Solution

The fourth proportional to 601.13, 896.43 and 546.81 is: 815.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.13 : 896.43 = 546.81 : x
  2. Step 2: Convert to fraction form
    601.13/896.43 = 546.81/x
  3. Step 3: Cross multiply
    601.13x = 896.43 × 546.81
  4. Step 4: Simplify right side
    601.13x = 490,176.89
  5. Step 5: Solve for x
    x = 490,176.89/601.13
  6. Step 6: Final answer
    x = 815.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.