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Finding the Fourth Proportional to 1,156.82, 1,720.36 and 1,120.36

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Solution

The fourth proportional to 1,156.82, 1,720.36 and 1,120.36 is: 1,666.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.82 : 1,720.36 = 1,120.36 : x
  2. Step 2: Convert to fraction form
    1,156.82/1,720.36 = 1,120.36/x
  3. Step 3: Cross multiply
    1,156.82x = 1,720.36 × 1,120.36
  4. Step 4: Simplify right side
    1,156.82x = 1,927,422.53
  5. Step 5: Solve for x
    x = 1,927,422.53/1,156.82
  6. Step 6: Final answer
    x = 1,666.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.