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Finding the Fourth Proportional to 544.96, 817.38 and 437.40

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Solution

The fourth proportional to 544.96, 817.38 and 437.40 is: 656.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.96 : 817.38 = 437.40 : x
  2. Step 2: Convert to fraction form
    544.96/817.38 = 437.40/x
  3. Step 3: Cross multiply
    544.96x = 817.38 × 437.40
  4. Step 4: Simplify right side
    544.96x = 357,522.01
  5. Step 5: Solve for x
    x = 357,522.01/544.96
  6. Step 6: Final answer
    x = 656.05

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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.