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Finding the Fourth Proportional to 1,341.70, 2,012.37 and 476.62

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Solution

The fourth proportional to 1,341.70, 2,012.37 and 476.62 is: 714.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.70 : 2,012.37 = 476.62 : x
  2. Step 2: Convert to fraction form
    1,341.70/2,012.37 = 476.62/x
  3. Step 3: Cross multiply
    1,341.70x = 2,012.37 × 476.62
  4. Step 4: Simplify right side
    1,341.70x = 959,135.79
  5. Step 5: Solve for x
    x = 959,135.79/1,341.70
  6. Step 6: Final answer
    x = 714.87

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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.