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Finding the Fourth Proportional to 818.42, 1,225.65 and 385.70

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Solution

The fourth proportional to 818.42, 1,225.65 and 385.70 is: 577.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.42 : 1,225.65 = 385.70 : x
  2. Step 2: Convert to fraction form
    818.42/1,225.65 = 385.70/x
  3. Step 3: Cross multiply
    818.42x = 1,225.65 × 385.70
  4. Step 4: Simplify right side
    818.42x = 472,733.21
  5. Step 5: Solve for x
    x = 472,733.21/818.42
  6. Step 6: Final answer
    x = 577.62

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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.