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Finding the Fourth Proportional to 1,339.41, 2,009.28 and 462.09

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Solution

The fourth proportional to 1,339.41, 2,009.28 and 462.09 is: 693.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.41 : 2,009.28 = 462.09 : x
  2. Step 2: Convert to fraction form
    1,339.41/2,009.28 = 462.09/x
  3. Step 3: Cross multiply
    1,339.41x = 2,009.28 × 462.09
  4. Step 4: Simplify right side
    1,339.41x = 928,468.20
  5. Step 5: Solve for x
    x = 928,468.20/1,339.41
  6. Step 6: Final answer
    x = 693.19

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1.5x scale

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.