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Finding the Fourth Proportional to 1,202.96, 1,662.32 and 907.72

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Solution

The fourth proportional to 1,202.96, 1,662.32 and 907.72 is: 1,254.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.96 : 1,662.32 = 907.72 : x
  2. Step 2: Convert to fraction form
    1,202.96/1,662.32 = 907.72/x
  3. Step 3: Cross multiply
    1,202.96x = 1,662.32 × 907.72
  4. Step 4: Simplify right side
    1,202.96x = 1,508,921.11
  5. Step 5: Solve for x
    x = 1,508,921.11/1,202.96
  6. Step 6: Final answer
    x = 1,254.34

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1.5x scale

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.