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Finding the Fourth Proportional to 1,341.77, 2,013.26 and 909.63

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Solution

The fourth proportional to 1,341.77, 2,013.26 and 909.63 is: 1,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.77 : 2,013.26 = 909.63 : x
  2. Step 2: Convert to fraction form
    1,341.77/2,013.26 = 909.63/x
  3. Step 3: Cross multiply
    1,341.77x = 2,013.26 × 909.63
  4. Step 4: Simplify right side
    1,341.77x = 1,831,317.15
  5. Step 5: Solve for x
    x = 1,831,317.15/1,341.77
  6. Step 6: Final answer
    x = 1,364.86

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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.