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Finding the Fourth Proportional to 544.58, 752.46 and 478.97

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Solution

The fourth proportional to 544.58, 752.46 and 478.97 is: 661.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.58 : 752.46 = 478.97 : x
  2. Step 2: Convert to fraction form
    544.58/752.46 = 478.97/x
  3. Step 3: Cross multiply
    544.58x = 752.46 × 478.97
  4. Step 4: Simplify right side
    544.58x = 360,405.77
  5. Step 5: Solve for x
    x = 360,405.77/544.58
  6. Step 6: Final answer
    x = 661.80

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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.