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Finding the Fourth Proportional to 762.08, 1,136.34 and 760.63

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Solution

The fourth proportional to 762.08, 1,136.34 and 760.63 is: 1,134.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.08 : 1,136.34 = 760.63 : x
  2. Step 2: Convert to fraction form
    762.08/1,136.34 = 760.63/x
  3. Step 3: Cross multiply
    762.08x = 1,136.34 × 760.63
  4. Step 4: Simplify right side
    762.08x = 864,333.85
  5. Step 5: Solve for x
    x = 864,333.85/762.08
  6. Step 6: Final answer
    x = 1,134.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.