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Finding the Fourth Proportional to 544.47, 816.48 and 457.40

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Solution

The fourth proportional to 544.47, 816.48 and 457.40 is: 685.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.47 : 816.48 = 457.40 : x
  2. Step 2: Convert to fraction form
    544.47/816.48 = 457.40/x
  3. Step 3: Cross multiply
    544.47x = 816.48 × 457.40
  4. Step 4: Simplify right side
    544.47x = 373,453.87
  5. Step 5: Solve for x
    x = 373,453.87/544.47
  6. Step 6: Final answer
    x = 685.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.