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Finding the Fourth Proportional to 522.49, 783.89 and 248.21

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Solution

The fourth proportional to 522.49, 783.89 and 248.21 is: 372.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.49 : 783.89 = 248.21 : x
  2. Step 2: Convert to fraction form
    522.49/783.89 = 248.21/x
  3. Step 3: Cross multiply
    522.49x = 783.89 × 248.21
  4. Step 4: Simplify right side
    522.49x = 194,569.34
  5. Step 5: Solve for x
    x = 194,569.34/522.49
  6. Step 6: Final answer
    x = 372.39

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1.5x scale

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.