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Finding the Fourth Proportional to 544.16, 816.65 and 437.24

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Solution

The fourth proportional to 544.16, 816.65 and 437.24 is: 656.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.16 : 816.65 = 437.24 : x
  2. Step 2: Convert to fraction form
    544.16/816.65 = 437.24/x
  3. Step 3: Cross multiply
    544.16x = 816.65 × 437.24
  4. Step 4: Simplify right side
    544.16x = 357,065.78
  5. Step 5: Solve for x
    x = 357,065.78/544.16
  6. Step 6: Final answer
    x = 656.18

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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.