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Finding the Fourth Proportional to 523.04, 783.84 and 266.24

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Solution

The fourth proportional to 523.04, 783.84 and 266.24 is: 398.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.04 : 783.84 = 266.24 : x
  2. Step 2: Convert to fraction form
    523.04/783.84 = 266.24/x
  3. Step 3: Cross multiply
    523.04x = 783.84 × 266.24
  4. Step 4: Simplify right side
    523.04x = 208,689.56
  5. Step 5: Solve for x
    x = 208,689.56/523.04
  6. Step 6: Final answer
    x = 398.99

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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.