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Finding the Fourth Proportional to 1,341.86, 2,012.61 and 519.57

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Solution

The fourth proportional to 1,341.86, 2,012.61 and 519.57 is: 779.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.86 : 2,012.61 = 519.57 : x
  2. Step 2: Convert to fraction form
    1,341.86/2,012.61 = 519.57/x
  3. Step 3: Cross multiply
    1,341.86x = 2,012.61 × 519.57
  4. Step 4: Simplify right side
    1,341.86x = 1,045,681.71
  5. Step 5: Solve for x
    x = 1,045,681.71/1,341.86
  6. Step 6: Final answer
    x = 779.28

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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.