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Finding the Fourth Proportional to 1,624.59, 2,436.57 and 513.85

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Solution

The fourth proportional to 1,624.59, 2,436.57 and 513.85 is: 770.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.59 : 2,436.57 = 513.85 : x
  2. Step 2: Convert to fraction form
    1,624.59/2,436.57 = 513.85/x
  3. Step 3: Cross multiply
    1,624.59x = 2,436.57 × 513.85
  4. Step 4: Simplify right side
    1,624.59x = 1,252,031.49
  5. Step 5: Solve for x
    x = 1,252,031.49/1,624.59
  6. Step 6: Final answer
    x = 770.68

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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.