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Finding the Fourth Proportional to 544.07, 813.98 and 380.66

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Solution

The fourth proportional to 544.07, 813.98 and 380.66 is: 569.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.07 : 813.98 = 380.66 : x
  2. Step 2: Convert to fraction form
    544.07/813.98 = 380.66/x
  3. Step 3: Cross multiply
    544.07x = 813.98 × 380.66
  4. Step 4: Simplify right side
    544.07x = 309,846.51
  5. Step 5: Solve for x
    x = 309,846.51/544.07
  6. Step 6: Final answer
    x = 569.49

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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.