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Finding the Fourth Proportional to 1,127.61, 1,688.37 and 736.64

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Solution

The fourth proportional to 1,127.61, 1,688.37 and 736.64 is: 1,102.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.61 : 1,688.37 = 736.64 : x
  2. Step 2: Convert to fraction form
    1,127.61/1,688.37 = 736.64/x
  3. Step 3: Cross multiply
    1,127.61x = 1,688.37 × 736.64
  4. Step 4: Simplify right side
    1,127.61x = 1,243,720.88
  5. Step 5: Solve for x
    x = 1,243,720.88/1,127.61
  6. Step 6: Final answer
    x = 1,102.97

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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.