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Finding the Fourth Proportional to 760.08, 1,136.81 and 704.73

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Solution

The fourth proportional to 760.08, 1,136.81 and 704.73 is: 1,054.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.08 : 1,136.81 = 704.73 : x
  2. Step 2: Convert to fraction form
    760.08/1,136.81 = 704.73/x
  3. Step 3: Cross multiply
    760.08x = 1,136.81 × 704.73
  4. Step 4: Simplify right side
    760.08x = 801,144.11
  5. Step 5: Solve for x
    x = 801,144.11/760.08
  6. Step 6: Final answer
    x = 1,054.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.