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Finding the Fourth Proportional to 544.16, 816.16 and 390.80

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Solution

The fourth proportional to 544.16, 816.16 and 390.80 is: 586.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.16 : 816.16 = 390.80 : x
  2. Step 2: Convert to fraction form
    544.16/816.16 = 390.80/x
  3. Step 3: Cross multiply
    544.16x = 816.16 × 390.80
  4. Step 4: Simplify right side
    544.16x = 318,955.33
  5. Step 5: Solve for x
    x = 318,955.33/544.16
  6. Step 6: Final answer
    x = 586.14

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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.