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Finding the Fourth Proportional to 1,341.92, 2,012.82 and 561.72

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Solution

The fourth proportional to 1,341.92, 2,012.82 and 561.72 is: 842.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.92 : 2,012.82 = 561.72 : x
  2. Step 2: Convert to fraction form
    1,341.92/2,012.82 = 561.72/x
  3. Step 3: Cross multiply
    1,341.92x = 2,012.82 × 561.72
  4. Step 4: Simplify right side
    1,341.92x = 1,130,641.25
  5. Step 5: Solve for x
    x = 1,130,641.25/1,341.92
  6. Step 6: Final answer
    x = 842.55

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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.