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Finding the Fourth Proportional to 1,341.77, 2,012.43 and 354.60

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Solution

The fourth proportional to 1,341.77, 2,012.43 and 354.60 is: 531.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.77 : 2,012.43 = 354.60 : x
  2. Step 2: Convert to fraction form
    1,341.77/2,012.43 = 354.60/x
  3. Step 3: Cross multiply
    1,341.77x = 2,012.43 × 354.60
  4. Step 4: Simplify right side
    1,341.77x = 713,602.57
  5. Step 5: Solve for x
    x = 713,602.57/1,341.77
  6. Step 6: Final answer
    x = 531.84

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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.