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Finding the Fourth Proportional to 1,337.25, 2,005.63 and 606.65

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Solution

The fourth proportional to 1,337.25, 2,005.63 and 606.65 is: 909.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.25 : 2,005.63 = 606.65 : x
  2. Step 2: Convert to fraction form
    1,337.25/2,005.63 = 606.65/x
  3. Step 3: Cross multiply
    1,337.25x = 2,005.63 × 606.65
  4. Step 4: Simplify right side
    1,337.25x = 1,216,715.44
  5. Step 5: Solve for x
    x = 1,216,715.44/1,337.25
  6. Step 6: Final answer
    x = 909.86

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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.