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Finding the Fourth Proportional to 1,143.11, 1,577.48 and 645.67

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Solution

The fourth proportional to 1,143.11, 1,577.48 and 645.67 is: 891.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.11 : 1,577.48 = 645.67 : x
  2. Step 2: Convert to fraction form
    1,143.11/1,577.48 = 645.67/x
  3. Step 3: Cross multiply
    1,143.11x = 1,577.48 × 645.67
  4. Step 4: Simplify right side
    1,143.11x = 1,018,530.26
  5. Step 5: Solve for x
    x = 1,018,530.26/1,143.11
  6. Step 6: Final answer
    x = 891.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.