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Finding the Fourth Proportional to 1,336.96, 2,005.65 and 471.07

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Solution

The fourth proportional to 1,336.96, 2,005.65 and 471.07 is: 706.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.96 : 2,005.65 = 471.07 : x
  2. Step 2: Convert to fraction form
    1,336.96/2,005.65 = 471.07/x
  3. Step 3: Cross multiply
    1,336.96x = 2,005.65 × 471.07
  4. Step 4: Simplify right side
    1,336.96x = 944,801.55
  5. Step 5: Solve for x
    x = 944,801.55/1,336.96
  6. Step 6: Final answer
    x = 706.68

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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.