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Finding the Fourth Proportional to 542.49, 812.83 and 522.24

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Solution

The fourth proportional to 542.49, 812.83 and 522.24 is: 782.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.49 : 812.83 = 522.24 : x
  2. Step 2: Convert to fraction form
    542.49/812.83 = 522.24/x
  3. Step 3: Cross multiply
    542.49x = 812.83 × 522.24
  4. Step 4: Simplify right side
    542.49x = 424,492.34
  5. Step 5: Solve for x
    x = 424,492.34/542.49
  6. Step 6: Final answer
    x = 782.49

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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.