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Finding the Fourth Proportional to 882.38, 1,215.45 and 838.64

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Solution

The fourth proportional to 882.38, 1,215.45 and 838.64 is: 1,155.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.38 : 1,215.45 = 838.64 : x
  2. Step 2: Convert to fraction form
    882.38/1,215.45 = 838.64/x
  3. Step 3: Cross multiply
    882.38x = 1,215.45 × 838.64
  4. Step 4: Simplify right side
    882.38x = 1,019,324.99
  5. Step 5: Solve for x
    x = 1,019,324.99/882.38
  6. Step 6: Final answer
    x = 1,155.20

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1.5x scale

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.