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Finding the Fourth Proportional to 552.45, 829.82 and 534

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Solution

The fourth proportional to 552.45, 829.82 and 534 is: 802.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.45 : 829.82 = 534 : x
  2. Step 2: Convert to fraction form
    552.45/829.82 = 534/x
  3. Step 3: Cross multiply
    552.45x = 829.82 × 534
  4. Step 4: Simplify right side
    552.45x = 443,121.21
  5. Step 5: Solve for x
    x = 443,121.21/552.45
  6. Step 6: Final answer
    x = 802.10

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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.