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Finding the Fourth Proportional to 523.19, 783.93 and 503.21

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Solution

The fourth proportional to 523.19, 783.93 and 503.21 is: 753.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.19 : 783.93 = 503.21 : x
  2. Step 2: Convert to fraction form
    523.19/783.93 = 503.21/x
  3. Step 3: Cross multiply
    523.19x = 783.93 × 503.21
  4. Step 4: Simplify right side
    523.19x = 394,481.42
  5. Step 5: Solve for x
    x = 394,481.42/523.19
  6. Step 6: Final answer
    x = 753.99

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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.