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Finding the Fourth Proportional to 1,115.04, 1,538.40 and 649.12

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Solution

The fourth proportional to 1,115.04, 1,538.40 and 649.12 is: 895.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.04 : 1,538.40 = 649.12 : x
  2. Step 2: Convert to fraction form
    1,115.04/1,538.40 = 649.12/x
  3. Step 3: Cross multiply
    1,115.04x = 1,538.40 × 649.12
  4. Step 4: Simplify right side
    1,115.04x = 998,606.21
  5. Step 5: Solve for x
    x = 998,606.21/1,115.04
  6. Step 6: Final answer
    x = 895.58

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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.