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Finding the Fourth Proportional to 523.24, 780.58 and 482.23

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Solution

The fourth proportional to 523.24, 780.58 and 482.23 is: 719.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.24 : 780.58 = 482.23 : x
  2. Step 2: Convert to fraction form
    523.24/780.58 = 482.23/x
  3. Step 3: Cross multiply
    523.24x = 780.58 × 482.23
  4. Step 4: Simplify right side
    523.24x = 376,419.09
  5. Step 5: Solve for x
    x = 376,419.09/523.24
  6. Step 6: Final answer
    x = 719.40

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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.