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Finding the Fourth Proportional to 1,340.93, 2,009.77 and 609.77

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Solution

The fourth proportional to 1,340.93, 2,009.77 and 609.77 is: 913.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.93 : 2,009.77 = 609.77 : x
  2. Step 2: Convert to fraction form
    1,340.93/2,009.77 = 609.77/x
  3. Step 3: Cross multiply
    1,340.93x = 2,009.77 × 609.77
  4. Step 4: Simplify right side
    1,340.93x = 1,225,497.45
  5. Step 5: Solve for x
    x = 1,225,497.45/1,340.93
  6. Step 6: Final answer
    x = 913.92

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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.