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Finding the Fourth Proportional to 1,202.59, 1,655.67 and 1,047.34

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Solution

The fourth proportional to 1,202.59, 1,655.67 and 1,047.34 is: 1,441.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.59 : 1,655.67 = 1,047.34 : x
  2. Step 2: Convert to fraction form
    1,202.59/1,655.67 = 1,047.34/x
  3. Step 3: Cross multiply
    1,202.59x = 1,655.67 × 1,047.34
  4. Step 4: Simplify right side
    1,202.59x = 1,734,049.42
  5. Step 5: Solve for x
    x = 1,734,049.42/1,202.59
  6. Step 6: Final answer
    x = 1,441.93

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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.