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Finding the Fourth Proportional to 534.84, 800.74 and 351.68

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Solution

The fourth proportional to 534.84, 800.74 and 351.68 is: 526.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.84 : 800.74 = 351.68 : x
  2. Step 2: Convert to fraction form
    534.84/800.74 = 351.68/x
  3. Step 3: Cross multiply
    534.84x = 800.74 × 351.68
  4. Step 4: Simplify right side
    534.84x = 281,598.70
  5. Step 5: Solve for x
    x = 281,598.70/534.84
  6. Step 6: Final answer
    x = 526.51

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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.