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Finding the Fourth Proportional to 1,712.77, 2,569.50 and 980.82

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Solution

The fourth proportional to 1,712.77, 2,569.50 and 980.82 is: 1,471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.77 : 2,569.50 = 980.82 : x
  2. Step 2: Convert to fraction form
    1,712.77/2,569.50 = 980.82/x
  3. Step 3: Cross multiply
    1,712.77x = 2,569.50 × 980.82
  4. Step 4: Simplify right side
    1,712.77x = 2,520,216.99
  5. Step 5: Solve for x
    x = 2,520,216.99/1,712.77
  6. Step 6: Final answer
    x = 1,471.43

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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.