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Finding the Fourth Proportional to 949.58, 1,421.64 and 536.78

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Solution

The fourth proportional to 949.58, 1,421.64 and 536.78 is: 803.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.58 : 1,421.64 = 536.78 : x
  2. Step 2: Convert to fraction form
    949.58/1,421.64 = 536.78/x
  3. Step 3: Cross multiply
    949.58x = 1,421.64 × 536.78
  4. Step 4: Simplify right side
    949.58x = 763,107.92
  5. Step 5: Solve for x
    x = 763,107.92/949.58
  6. Step 6: Final answer
    x = 803.63

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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.