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Finding the Fourth Proportional to 536.10, 802.98 and 513.42

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Solution

The fourth proportional to 536.10, 802.98 and 513.42 is: 769.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.10 : 802.98 = 513.42 : x
  2. Step 2: Convert to fraction form
    536.10/802.98 = 513.42/x
  3. Step 3: Cross multiply
    536.10x = 802.98 × 513.42
  4. Step 4: Simplify right side
    536.10x = 412,265.99
  5. Step 5: Solve for x
    x = 412,265.99/536.10
  6. Step 6: Final answer
    x = 769.01

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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.