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Finding the Fourth Proportional to 1,181.32, 1,629.76 and 761.63

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Solution

The fourth proportional to 1,181.32, 1,629.76 and 761.63 is: 1,050.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.32 : 1,629.76 = 761.63 : x
  2. Step 2: Convert to fraction form
    1,181.32/1,629.76 = 761.63/x
  3. Step 3: Cross multiply
    1,181.32x = 1,629.76 × 761.63
  4. Step 4: Simplify right side
    1,181.32x = 1,241,276.28
  5. Step 5: Solve for x
    x = 1,241,276.28/1,181.32
  6. Step 6: Final answer
    x = 1,050.76

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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.