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Finding the Fourth Proportional to 760, 1,050.96 and 725.62

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Solution

The fourth proportional to 760, 1,050.96 and 725.62 is: 1,003.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    760 : 1,050.96 = 725.62 : x
  2. Step 2: Convert to fraction form
    760/1,050.96 = 725.62/x
  3. Step 3: Cross multiply
    760x = 1,050.96 × 725.62
  4. Step 4: Simplify right side
    760x = 762,597.60
  5. Step 5: Solve for x
    x = 762,597.60/760
  6. Step 6: Final answer
    x = 1,003.42

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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.