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Finding the Fourth Proportional to 1,341.32, 2,012.98 and 611.38

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Solution

The fourth proportional to 1,341.32, 2,012.98 and 611.38 is: 917.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.32 : 2,012.98 = 611.38 : x
  2. Step 2: Convert to fraction form
    1,341.32/2,012.98 = 611.38/x
  3. Step 3: Cross multiply
    1,341.32x = 2,012.98 × 611.38
  4. Step 4: Simplify right side
    1,341.32x = 1,230,695.71
  5. Step 5: Solve for x
    x = 1,230,695.71/1,341.32
  6. Step 6: Final answer
    x = 917.53

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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.