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Finding the Fourth Proportional to 1,082.28, 1,486.35 and 907.32

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Solution

The fourth proportional to 1,082.28, 1,486.35 and 907.32 is: 1,246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.28 : 1,486.35 = 907.32 : x
  2. Step 2: Convert to fraction form
    1,082.28/1,486.35 = 907.32/x
  3. Step 3: Cross multiply
    1,082.28x = 1,486.35 × 907.32
  4. Step 4: Simplify right side
    1,082.28x = 1,348,595.08
  5. Step 5: Solve for x
    x = 1,348,595.08/1,082.28
  6. Step 6: Final answer
    x = 1,246.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.