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Finding the Fourth Proportional to 1,145.20, 1,578 and 882.40

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Solution

The fourth proportional to 1,145.20, 1,578 and 882.40 is: 1,215.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.20 : 1,578 = 882.40 : x
  2. Step 2: Convert to fraction form
    1,145.20/1,578 = 882.40/x
  3. Step 3: Cross multiply
    1,145.20x = 1,578 × 882.40
  4. Step 4: Simplify right side
    1,145.20x = 1,392,427.20
  5. Step 5: Solve for x
    x = 1,392,427.20/1,145.20
  6. Step 6: Final answer
    x = 1,215.88

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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.