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Finding the Fourth Proportional to 736.36, 1,098.85 and 654.55

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Solution

The fourth proportional to 736.36, 1,098.85 and 654.55 is: 976.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.36 : 1,098.85 = 654.55 : x
  2. Step 2: Convert to fraction form
    736.36/1,098.85 = 654.55/x
  3. Step 3: Cross multiply
    736.36x = 1,098.85 × 654.55
  4. Step 4: Simplify right side
    736.36x = 719,248.99
  5. Step 5: Solve for x
    x = 719,248.99/736.36
  6. Step 6: Final answer
    x = 976.76

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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.