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Finding the Fourth Proportional to 1,684, 2,526 and 529.78

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Solution

The fourth proportional to 1,684, 2,526 and 529.78 is: 794.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684 : 2,526 = 529.78 : x
  2. Step 2: Convert to fraction form
    1,684/2,526 = 529.78/x
  3. Step 3: Cross multiply
    1,684x = 2,526 × 529.78
  4. Step 4: Simplify right side
    1,684x = 1,338,224.28
  5. Step 5: Solve for x
    x = 1,338,224.28/1,684
  6. Step 6: Final answer
    x = 794.67

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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.