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Finding the Fourth Proportional to 1,260.35, 1,740.32 and 819.01

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Solution

The fourth proportional to 1,260.35, 1,740.32 and 819.01 is: 1,130.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.35 : 1,740.32 = 819.01 : x
  2. Step 2: Convert to fraction form
    1,260.35/1,740.32 = 819.01/x
  3. Step 3: Cross multiply
    1,260.35x = 1,740.32 × 819.01
  4. Step 4: Simplify right side
    1,260.35x = 1,425,339.48
  5. Step 5: Solve for x
    x = 1,425,339.48/1,260.35
  6. Step 6: Final answer
    x = 1,130.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.