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Finding the Fourth Proportional to 537.84, 801.66 and 523.20

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Solution

The fourth proportional to 537.84, 801.66 and 523.20 is: 779.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.84 : 801.66 = 523.20 : x
  2. Step 2: Convert to fraction form
    537.84/801.66 = 523.20/x
  3. Step 3: Cross multiply
    537.84x = 801.66 × 523.20
  4. Step 4: Simplify right side
    537.84x = 419,428.51
  5. Step 5: Solve for x
    x = 419,428.51/537.84
  6. Step 6: Final answer
    x = 779.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.