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Finding the Fourth Proportional to 544.28, 816 and 313.40

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Solution

The fourth proportional to 544.28, 816 and 313.40 is: 469.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.28 : 816 = 313.40 : x
  2. Step 2: Convert to fraction form
    544.28/816 = 313.40/x
  3. Step 3: Cross multiply
    544.28x = 816 × 313.40
  4. Step 4: Simplify right side
    544.28x = 255,734.40
  5. Step 5: Solve for x
    x = 255,734.40/544.28
  6. Step 6: Final answer
    x = 469.86

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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.