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Finding the Fourth Proportional to 1,260.13, 1,888.84 and 609.43

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Solution

The fourth proportional to 1,260.13, 1,888.84 and 609.43 is: 913.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.13 : 1,888.84 = 609.43 : x
  2. Step 2: Convert to fraction form
    1,260.13/1,888.84 = 609.43/x
  3. Step 3: Cross multiply
    1,260.13x = 1,888.84 × 609.43
  4. Step 4: Simplify right side
    1,260.13x = 1,151,115.76
  5. Step 5: Solve for x
    x = 1,151,115.76/1,260.13
  6. Step 6: Final answer
    x = 913.49

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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.