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Finding the Fourth Proportional to 1,351.76, 2,026.34 and 529.40

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Solution

The fourth proportional to 1,351.76, 2,026.34 and 529.40 is: 793.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.76 : 2,026.34 = 529.40 : x
  2. Step 2: Convert to fraction form
    1,351.76/2,026.34 = 529.40/x
  3. Step 3: Cross multiply
    1,351.76x = 2,026.34 × 529.40
  4. Step 4: Simplify right side
    1,351.76x = 1,072,744.40
  5. Step 5: Solve for x
    x = 1,072,744.40/1,351.76
  6. Step 6: Final answer
    x = 793.59

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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.