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Finding the Fourth Proportional to 1,047.73, 1,445.03 and 929.79

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Solution

The fourth proportional to 1,047.73, 1,445.03 and 929.79 is: 1,282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.73 : 1,445.03 = 929.79 : x
  2. Step 2: Convert to fraction form
    1,047.73/1,445.03 = 929.79/x
  3. Step 3: Cross multiply
    1,047.73x = 1,445.03 × 929.79
  4. Step 4: Simplify right side
    1,047.73x = 1,343,574.44
  5. Step 5: Solve for x
    x = 1,343,574.44/1,047.73
  6. Step 6: Final answer
    x = 1,282.37

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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.