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Finding the Fourth Proportional to 1,337.33, 2,005.47 and 459.66

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Solution

The fourth proportional to 1,337.33, 2,005.47 and 459.66 is: 689.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.33 : 2,005.47 = 459.66 : x
  2. Step 2: Convert to fraction form
    1,337.33/2,005.47 = 459.66/x
  3. Step 3: Cross multiply
    1,337.33x = 2,005.47 × 459.66
  4. Step 4: Simplify right side
    1,337.33x = 921,834.34
  5. Step 5: Solve for x
    x = 921,834.34/1,337.33
  6. Step 6: Final answer
    x = 689.31

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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.