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Finding the Fourth Proportional to 536.59, 809.03 and 429.67

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Solution

The fourth proportional to 536.59, 809.03 and 429.67 is: 647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.59 : 809.03 = 429.67 : x
  2. Step 2: Convert to fraction form
    536.59/809.03 = 429.67/x
  3. Step 3: Cross multiply
    536.59x = 809.03 × 429.67
  4. Step 4: Simplify right side
    536.59x = 347,615.92
  5. Step 5: Solve for x
    x = 347,615.92/536.59
  6. Step 6: Final answer
    x = 647.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.