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Finding the Fourth Proportional to 1,047.14, 1,437.48 and 899.52

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Solution

The fourth proportional to 1,047.14, 1,437.48 and 899.52 is: 1,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.14 : 1,437.48 = 899.52 : x
  2. Step 2: Convert to fraction form
    1,047.14/1,437.48 = 899.52/x
  3. Step 3: Cross multiply
    1,047.14x = 1,437.48 × 899.52
  4. Step 4: Simplify right side
    1,047.14x = 1,293,042.01
  5. Step 5: Solve for x
    x = 1,293,042.01/1,047.14
  6. Step 6: Final answer
    x = 1,234.83

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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.