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Finding the Fourth Proportional to 509.42, 763.58 and 364.70

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Solution

The fourth proportional to 509.42, 763.58 and 364.70 is: 546.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.42 : 763.58 = 364.70 : x
  2. Step 2: Convert to fraction form
    509.42/763.58 = 364.70/x
  3. Step 3: Cross multiply
    509.42x = 763.58 × 364.70
  4. Step 4: Simplify right side
    509.42x = 278,480.45
  5. Step 5: Solve for x
    x = 278,480.45/509.42
  6. Step 6: Final answer
    x = 546.66

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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.